Directrix calculator

Steps To Find AOS: Reduce the given expression into a standard quadratic function form such as: \ (ax^ {2} + b x + c\) Next, pick the values of a and b (a being the coefficient of \ (x^2\) and b being the coefficient of x) Now put in the values in the axis of symmetry equation which is: \ (x=\dfrac {-b} {2a}\)Equations Inequalities Scientific Calculator Scientific Notation Arithmetics Complex Numbers Polar/Cartesian Simultaneous Equations System of Inequalities Polynomials Rationales Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic Sections TrigonometryJun 24, 2020 ... How To Draw A Quadratic Graph Using The Table Of Values Key On A Casio Calculator. ... Finding The Focus and Directrix of a Parabola - Conic ...Conics Section calculator is a web calculator that helps you to identify conic sections by their equations. Example: Hyperbola Equation x^2-y^2=1 Try It ! ... In technical terms, a parabolla is a seto of points that are equidistant from a line (refered to as the directrix) and a point on the line called the focus.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Parabola-Focus-Directrix. Save Copy. Log InorSign Up. x ≤ 1 …Yes, and yes. Every conic section can be defined by a point (taken as the focus), a line (taken as the directrix), and a positive number for the eccentricity. The conic section is the set of all points whose distance from the focus is in constant ratio with the distance from the directrix. That constant ratio is the eccentricity.Find the Parabola with Focus (0,-10) and Directrix y=10 (0,-10) y=10. Step 1. Since the directrix is vertical, use the equation of a parabola that opens up or down. A calculator helps people perform tasks that involve adding, multiplying, dividing or subtracting numbers. There are numerous types of calculators, and many people use a simple ele...Free Parabolas Calculator - Determines the focus, directrix, and other related items for a parabola. This calculator has 1 input. What 5 formulas are used for the Parabolas …Find the Parabola with Focus (0,5) and Directrix y=-5 (0,5) , y=-5, Step 1. Since the directrix is vertical, use the equation of a parabola that opens up or down. 14) Vertex at origin, Directrix: x = - 1 4 15) Vertex at origin, Directrix: y = - 1 12 16) Vertex at origin, Directrix: x = 1 4 17) Vertex at origin, Directrix: x = 1 12 18) Vertex at origin, Directrix: y = 1 36 19) To complete this assignment, go to www.deltamath.com and complete the remaining Focus & Directrix problems found there. The red point in the pictures below is the focus of the parabola and the red line is the directrix. As you can see from the diagrams, when the focus is above the directrix Example 1, the parabola opens upwards. In the next section, we will explain how the focus and directrix relate to the actual parabola. Explore this more with our interactive ...The equation of directrix is x = a e + h and x = − a e + h. (ii) For ellipse a < b, The equation of directrix is y = b e + k and y = − b e + k. In this post you will learn what is the formula to find the equation of directrix of ellipse with examples.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Parabola-Focus-Directrix | Desmos Steps to Find Vertex Focus and Directrix Of The Parabola. Step 1. Determine the horizontal or vertical axis of symmetry. Step 2. Write the standard equation. Step 3. Compare the given equation with the standard equation and find the value of a. Step 4. Find the focus, vertex and directrix using the equations given in the following table.Use this user friendly Parabola Calculator tool to get the output in a short span of time. You just need to enter the parabola equation in the specified input fields and hit on the calculator button to acquire vertex, x intercept, y intercept, focus, axis of symmetry, and directrix as output.Nov 9, 2022 ... ... calculator! #TI84PlusCE #RyneRoper. ... Graph a Parabola to Find the Vertex, the Focus, the Directrix and More on the TI 84 Plus CE.Parabola calculator protonstalk find equation of given focus and directrix 7 2 you by steps article articleted news articles vertex form quadratic equations rational expressions solved in exercises 23 through 36 an the having properties sketch then check your graph plotting it on graphics 11 5 conic sections mathematics libretexts Parabola …Many landlords charge a late rent fee when the rent is even a few days past due. There are legal restrictions on how much the landlord can charge and when the late fee kicks in. Re...Directrix of Parabola: The line parallel to the latus rectum of the parabola is the directix of the parabola. For a parabola \(y^2 = 4ax\), the directrix is x + a = 0, and is a line cutting the axis of the parabola at (-a, 0). Any point on the parabola is equidistant from the focus of the parabola and the directrix of the parabola. ☛Related ...Parabola is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped but which can be in any orientation in its plane. A parabola is the set of all points equidistant from a point that is called the focus of the parabola and a line that is called the directrix of the parabola.The standard equation of a parabola relates (Xv ...The directrix form of a parabola uses the directrix and focus to define the graph. Each point on the parabola is equal distant from the focus and the directrix.Dec 8, 2014 ... How to Find the Vertex of a Parabola Using a TI 84 Graphing Calculator | TEXAS SECONDARY MATHEMATICS. How to pass STAAR Algebra 1 EOC with ...Parabola Equation Calculator. A parabolae plural parabolas or parabola is a two-dimensional, mirror-symmetrical curve. It can be in any orientation in its plane and approximately U-shaped. The parabola involves a line (the directrix) and a point (the focus). A parabola is a graph of a quadratic function, such as y=x^2.The parabola involves a line (the directrix) and a point (the focus). A parabola is a graph of a quadratic function, such as y=x^2. The Parobola Equation in Vertex Form (X-h) 2 = …Having a pond in your backyard can be a great way to add beauty and tranquility to your outdoor space. But before you start digging, it’s important to understand the cost of buildi...Algebra. Find the Parabola with Focus (3,-1) and Directrix y=1 (3,-1) y=1. (3,−1) ( 3, - 1) y = 1 y = 1. Since the directrix is vertical, use the equation of a parabola that opens up or down. (x−h)2 = 4p(y−k) ( x - h) 2 = 4 p ( y - k) Find the vertex. Tap for more steps... (3,0) ( 3, 0) Feb 11, 2024 · The Find Parabola With Focus and Directrix Calculator is a powerful tool designed to simplify these complexities, providing users with an efficient way to determine the key elements of a parabola, such as the vertex, focus, and directrix. Formula. Vertical Parabola: Vertex form: (x−h) 2 =4p(y−k) Focus: (h,k+p) Directrix: y=k−p; Horizontal ... Nov 21, 2018 · This EzEd videos explains how to construct a HYPERBOLA using FOCUS DIRECTRIX METHOD when distance between the focus and DIRECTRIX is 50 mm and ECCENTRICITY i... This CalcTown calculator calculates calculates the focii, vertex, diretrix and intercepts of a parabola ... X- intercept length (X). m. Directrix of the parabola ...Let ( a , b ) be the focus and let y = c be the directrix. Let ( x 0 , y 0 ) be any point on the parabola. Any point, ( x 0 , y 0 ) on the parabola satisfies the definition of parabola, so there are two distances to calculate:Send us Feedback. Free matrix Minors & Cofactors calculator - find the Minors & Cofactors of a matrix step-by-step.The distance from the focus to the vertex and from the vertex to the directrix is . Subtract the coordinate of the vertex from the coordinate of the focus to find . Step 3.2 Mar 28, 2021 · Now we will learn how to find the focus & directrix of a parabola from the equation. So, when the equation of a parabola is. y – k = a (x – h) 2. Here, the value of a = 1/4C. So the focus is (h, k + C), the vertex is (h, k) and the directrix is y = k – C. Free Polar Conics Calculator - Given eccentricity (e), directrix (d), and angle θ, this determines the vertical and horizontal directrix polar equations. This calculator has 3 inputs. What 1 formula is used for the Polar Conics Calculator? r = ed/(1 - …Symbolab is the best step by step calculator for a wide range of physics problems, including mechanics, electricity and magnetism, and thermodynamics. ... pre-calculus-parabola-directrix-calculator. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. parabola …Directrix of Parabola: The line parallel to the latus rectum of the parabola is the directix of the parabola. For a parabola \(y^2 = 4ax\), the directrix is x + a = 0, and is a line cutting the axis of the parabola at (-a, 0). Any point on the parabola is equidistant from the focus of the parabola and the directrix of the parabola. ☛Related ...Jan 18, 2024 · Find the directrix of the parabola. You can either use the parabola calculator to do it for you, or you can use the equation: y = c - (b² + 1)/(4a) = -4 - (9+1)/8 = -5.25. If you want to learn more coordinate geometry concepts, we recommend checking the average rate of change calculator and the latus rectum calculator. Equation of a parabola from focus & directrix. Write the equation for a parabola with a focus at ( 1, 2) and a directrix at y = 6 . Stuck? Review related articles/videos or use a hint. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. The directrix of a conic section is the line which, together with the point known as the focus, serves to define a conic section as the locus of points whose distance from the focus is proportional to the horizontal distance from the directrix, with r being the constant of proportionality. If the ratio r=1, the conic is a parabola, if r<1, it is an ellipse, …Free Parabola Directrix calculator - Calculate parabola directrix given equation step-by-stepParabola Equation Calculator. A parabolae plural parabolas or parabola is a two-dimensional, mirror-symmetrical curve. It can be in any orientation in its plane and approximately U-shaped. The parabola involves a line (the directrix) and a point (the focus). A parabola is a graph of a quadratic function, such as y=x^2.parabola-directrix-calculator. directrix y^{2}=24y. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and dedication. If you want... Read …Free Parabolas Calculator - Determines the focus, directrix, and other related items for a parabola. This calculator has 1 input. What 5 formulas are used for the Parabolas Calculator? standard horizontal parabola equation is y 2 = 4cx standard vertical parabola equation is x 2 = 4cyFocus and directrix calculator. This demonstrates that the distance between the focus and any point on the curve will be equal to the shortest distance between that point and the. It gets the properties of a parabola like the focus and directrix. Find the y y coordinate of the vertex using the formula y y coordinate of focus directrix 2 y y ...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...How To: Given its focus and directrix, write the equation for a parabola in standard form. Determine whether the axis of symmetry is the x – or y -axis. If the given coordinates of the focus have the form. ( p, 0) \displaystyle \left (p,0\right) (p, 0), then the axis of symmetry is the x -axis. Use the standard form.Use our transfer partner calculator to see exactly how far your transferrable points will take you, and get ideas on redemptions too! 1.67:1 Earn More | Redeem 1.67:1 Earn More | R...Find the Parabola with Focus (0,-10) and Directrix y=10 (0,-10) y=10. Step 1. Since the directrix is vertical, use the equation of a parabola that opens up or down. The equation of directrix is x = a e + h and x = − a e + h. (ii) For ellipse a < b, The equation of directrix is y = b e + k and y = − b e + k. In this post you will learn what is the formula to find the equation of directrix of ellipse with examples.Steps to Find the Focus & Directrix of a Parabola. Step 1: Identify the given equation and determine orientation of the parabola. Step 2: Find h, k, and p using the equation of the parabola ( x ...Free Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-stepNov 9, 2022 ... ... calculator! #TI84PlusCE #RyneRoper. ... Graph a Parabola to Find the Vertex, the Focus, the Directrix and More on the TI 84 Plus CE.By Ezmeralda Lee A graphing calculator is necessary for many different kinds of math. Not only does it do math much faster than almost any person, but it is also capable of perform...The Pre-Calculus Calculator helps you learn and solve pre-calculus problems step by step. It covers topics such as algebra, trigonometry, functions, complex numbers, and …#CALCULATORTECHNIQUE#SLOPECALCULATORTECHNIQUEExplore the relationship between the equation and the graph of a parabola using our interactive parabola. Just type in whatever values you want for a,b,c (the coefficients in a quadratic equation) and the the parabola graph maker will automatically update!Plus you can save any of your graphs/equations to your desktop as images to use in your own …Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Parabola …Feb 13, 2022 · The directrix is outside of the parabola and parallel to the axis of the parabola. Related Topic. How to Write the Equation of Parabola; Step-by-Step Guide to Finding the Focus, Vertex, and Directrix of a Parabola. The standard form of Parabola when it opens up or down is \((x- h)^2= 4p(y-k)\), where the focus is \(h,k+p\) and the directrix is ... Let's say that the directrix is line y = t. The distance of the x coordinate of the point on the parabola to the focus is (x - a). The distance of the y coordinate of the point on the parabola to the focus is (y - b). Remember the pythagorean theorem. a^2 + b^2 = c^2. We know the a^2 and the b^2.Nov 21, 2018 · This EzEd videos explains how to construct a HYPERBOLA using FOCUS DIRECTRIX METHOD when distance between the focus and DIRECTRIX is 50 mm and ECCENTRICITY i... Feb 23, 2016 ... Learn how to write the equation of a parabola given the focus and the directrix. A parabola is the shape of the graph of a quadratic ...Directrix of Hyperbola Formula. A hyperbola’s directrix is a straight line used to generate a curve on the graph. It is also known as the line that the hyperbola curves away from and is perpendicular to the symmetry axis. The formula of directrix is: Distance between Directrix of Hyperbola. Consider a hyperbola \( x^2-y^2=9 \).parabola-directrix-calculator. directrix y^{2}=24y. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and dedication. If you want... Read …Steps To Find AOS: Reduce the given expression into a standard quadratic function form such as: \ (ax^ {2} + b x + c\) Next, pick the values of a and b (a being the coefficient of \ (x^2\) and b being the coefficient of x) Now put in the values in the axis of symmetry equation which is: \ (x=\dfrac {-b} {2a}\)How find the equation of an ellipse for an area is simple and it is not a daunting task. The formula for finding the area of the ellipse is quite similar to the circle. The formula for finding the area of the circle is A=πr^2. In this situation, we just write “a ” and “b” in place of r. We can find the area of an ellipse calculator to ...Directrix: y = k – 1/4a. Parabola Calculator Graph. Take the equation y = 3×2 – 6x + 5 as an example. A = 3, b = -6, and c = 5 for this parabola. The graph of the given quadratic equation, which is a parabola, is shown below. The parabola opens up because an is positive in this case. Vertex: (h,k)Let ( a , b ) be the focus and let y = c be the directrix. Let ( x 0 , y 0 ) be any point on the parabola. Any point, ( x 0 , y 0 ) on the parabola satisfies the definition of parabola, so there are two distances to calculate:Identifying a Conic in Polar Form. Any conic may be determined by three characteristics: a single focus, a fixed line called the directrix, and the ratio of the distances of each to a point on the graph.Consider the parabola \(x=2+y^2\) shown in Figure \(\PageIndex{2}\).. Figure \(\PageIndex{2}\) We previously learned how a parabola is …Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ... Change the directrix. 4. Move the point on the parabola 6. Equation of the parabola, lines from arbitrary point to focus and directrix - don't alter this folder. ...Free Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-stepExplore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ... Change the directrix. 4. Move the point on the parabola 6. Equation of the parabola, lines from arbitrary point to focus and directrix - don't alter this folder. ...Six Sigma Calculations - Six Sigma calculations are based on defects and arranged in a scale from one to six, six meaning 99.9997% defect-free. See more Six Sigma calculations. Adv...POLAR EQUATION FOR A CONIC SECTION. A conic section with a focus at the origin, eccentricity e, and directrix at x = ± p or y = ± p will have polar equation: r = ep 1 ± esin(θ) when the directrix is y = ± p. r = ep 1 ± ecos(θ) when the directrix is x = ± p. Example 9.4.1.Equations Inequalities Scientific Calculator Scientific Notation Arithmetics Complex Numbers Polar/Cartesian Simultaneous Equations System of Inequalities Polynomials Rationales Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic Sections TrigonometryMar 28, 2021 · Now we will learn how to find the focus & directrix of a parabola from the equation. So, when the equation of a parabola is. y – k = a (x – h) 2. Here, the value of a = 1/4C. So the focus is (h, k + C), the vertex is (h, k) and the directrix is y = k – C. The directrix of a parabola is the horizontal line found by subtracting from the y-coordinate of the vertex if the parabola opens up or down. Step 8.2. Substitute the known values of and into the formula and simplify. Step 9. Use the properties of the parabola to analyze and graph the parabola. Direction: Opens Up. Vertex:Use this user friendly Parabola Calculator tool to get the output in a short span of time. You just need to enter the parabola equation in the specified input fields and hit on the calculator button to acquire vertex, x intercept, y intercept, focus, axis of symmetry, and directrix as output.Equation of a parabola from focus & directrix. Write the equation for a parabola with a focus at ( 1, 2) and a directrix at y = 6 . Stuck? Review related articles/videos or use a hint. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Six Sigma Calculations - Six Sigma calculations are based on defects and arranged in a scale from one to six, six meaning 99.9997% defect-free. See more Six Sigma calculations. Adv...Sep 4, 2021 ... THE PARABOLA: FINDING VERTEX, FOCUS, DIRECTRIX AND SYMMETRY || CONIC SECTIONS || PRECALCULUS. 55K views · 2 years ago #ConicSections ...Sep 4, 2021 ... THE PARABOLA: FINDING VERTEX, FOCUS, DIRECTRIX AND SYMMETRY || CONIC SECTIONS || PRECALCULUS. 55K views · 2 years ago #ConicSections ...The directrix of parabola is \( x = h – p \). Furthermore, the Directrix of a parabola can also be calculated by a simple equation that is: \(y = c – \frac{(b² + 1)}{(4a)}\) . How Parabola …How To: Given its focus and directrix, write the equation for a parabola in standard form. Determine whether the axis of symmetry is the x – or y -axis. If the given coordinates of the focus have the form. ( p, 0) \displaystyle \left (p,0\right) (p, 0), then the axis of symmetry is the x -axis. Use the standard form.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Hyperbola Calculator. Save Copy. Log InorSign Up. x − i 2 a − y − f 2 b = 1. 1. i = 0. 2. f ...Quadratic Equations - Vertex, Focus and Directrix. Quadratic equations have the general form: ax 2 + bx + c = 0. If the "a" coefficient is greater than 0, the parabola is "U-shaped" and. if the "a" coefficient is less than 0, the parabola is "∩-shaped". When a quadratic equation is graphed, it forms a parabola.The distance from the focus to the vertex and from the vertex to the directrix is . Subtract the coordinate of the vertex from the coordinate of the focus to find . Step 3.2 Jan 10, 2024 ... We do an example of graphing a parabola with the TI-84 Plus CE Calculator ... Directrix and More on the TI 84 Plus CE. Robert Wilson•10K views · 2 ...The distance from the focus to the vertex and from the vertex to the directrix is . Subtract the coordinate of the vertex from the coordinate of the focus to find . Step 3.2 Description: The Find Equation Of Parabola Given Vertex And Directrix Calculator calculates the equation of a parabola using its vertex and the equation of the directrix. Example: Find the equation of a parabola with a vertex at (2, -1) and a directrix given by the equation y = 3. Answer: The equation of the parabola is y = -1/4 (x – 2)^2 – 1.Calculate the directrix of a parabola given its equation or its focus and directrix. The calculator shows the directrix in terms of x, y, and r, and the graph of the parabola on a …Directrix: y = k – 1/4a. Parabola Calculator Graph. Take the equation y = 3×2 – 6x + 5 as an example. A = 3, b = -6, and c = 5 for this parabola. The graph of the given quadratic equation, which is a parabola, is shown below. The parabola opens up because an is positive in this case. Vertex: (h,k)Tax calculators are useful for those who would like to know information about their take-home pay after deductions occur. Here are some tips you should follow to learn how to use a...Directrix of Hyperbola. The directrix of a hyperbola is a straight line that is used in incorporating a curve. It can also be described as the line segment from which the hyperbola curves away. This line segment is perpendicular to the axis of symmetry. The equation of directrix formula is as follows: x = \[\frac{ a^{2}}{\sqrt{a^{2}+ b^{2}}}\]The orientation of the vertex, focus and directrix allows us to determine the equation of a parabola if we are given certain pieces of information about the vertex, focus and directrix. The vertex always falls halfway between the focus and directrix. The key pieces of information in determining the equation of a parabola are:In other words, if given a line \(L\) the directrix, and a point \(F\) the focus, then \((x,y)\) is a point on the parabola if the shortest distance from it to the focus and from it to the line is equal as pictured below: Figure \(\PageIndex{4}\) The vertex of the parabola is the point where the shortest distance to the directrix is at a minimum.Yes, and yes. Every conic section can be defined by a point (taken as the focus), a line (taken as the directrix), and a positive number for the eccentricity. The conic section is the set of all points whose distance from the focus is in constant ratio with the distance from the directrix. That constant ratio is the eccentricity.The directrix form of a parabola uses the directrix and focus to define the graph. Each point on the parabola is equal distant from the focus and the directrix. Directrix: The directrix is a fixed-line not touching the parabola such that the distance between any point on the parabola and its focus is equal to the distance between that point and the directrix. It is perpendicular to the axis of symmetry. ... Given that the equation of a parabola is y 2 - 4x- 4y=0, Calculate the vertex, focus, directrix ...Find the directrix of the parabola. You can either use the parabola calculator to do it for you, or you can use the equation: y = c - (b² + 1)/(4a) = -4 - (9+1)/8 …Steps to Find Vertex Focus and Directrix Of The Parabola. Step 1. Determine the horizontal or vertical axis of symmetry. Step 2. Write the standard equation. Step 3. Compare the given equation with the standard equation and find the value of a. Step 4. Find the focus, vertex and directrix using the equations given in the following table.May 5, 2017 ... ... Points and Window Settings. Using The Ti-Nspire CX CAS Calculator•20K views · 3:43 · Go to channel · How to find the focus and directrix of...BMI Calculator » Triangle Calculators » Length and Distance Conversions » SD SE Mean Median Variance » Blood Type Child Parental Calculator » Unicode, UTF8, Hexidecimal » RGB, Hex, HTML Color Conversion » G-Force RPM Calculator » Chemical Molecular Weight Calculator » Mole, Moles to Grams Calculator » R Plot PCH Symbols » Dilution ...Explore the relationship between the equation and the graph of a parabola using our interactive parabola. Just type in whatever values you want for a,b,c (the coefficients in a quadratic equation) and the the parabola graph maker will automatically update!Plus you can save any of your graphs/equations to your desktop as images to use in your own …Even if you don’t have a physical calculator at home, there are plenty of resources available online. Here are some of the best online calculators available for a variety of uses, ...Directrix of Hyperbola. The directrix of a hyperbola is a straight line that is used in incorporating a curve. It can also be described as the line segment from which the hyperbola curves away. This line segment is perpendicular to the axis of symmetry. The equation of directrix formula is as follows: x = \[\frac{ a^{2}}{\sqrt{a^{2}+ b^{2}}}\]This calculator will find either the equation of the ellipse from the given parameters or the center, foci, vertices (major vertices), co-vertices (minor vertices), (semi)major axis length, (semi)minor axis length, area, circumference, latera recta, length of the latera recta (focal width), focal parameter, eccentricity, linear eccentricity (focal distance), directrices, x-intercepts, y ... Send us Feedback. Free matrix Minors & Cofactors calculator - find the Minors & Cofactors of a matrix step-by-step.Since the directrix is horizontal, use the equation of a parabola that opens left or right. Step 2. Find the vertex. Tap for more steps... Step 2.1. The vertex is halfway between the directrix and focus. Find the coordinate of the vertex using the formula. The coordinate will be the same as the coordinate of the focus.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Parabola with focus and directrix. Save Copy ... distance between the focus and any point on the curve will be equal to the shortest distance between that point and the directrix. | Ckhuksnoema (article) | Mgvrv.