Write equation of parabola given focus and directrix calculator

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Number Line
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How to Use the Parabola Calculator?
What is Meant by Parabola?
What is parabola using focus and Directrix?
What are the equation of Directrices of parabola?

Parabola Equation Solver Calculator

Vertex :

Focus :

Standard Equation:

Equation in Vertex Form:

click here for parabola vertex focus calculator.

Parabola Equation Solver based on Vertex and Focus Formula:

   For:
      vertex: (h, k)
      focus: (x1, y1)

• The Parobola Equation in Vertex Form is:
(X-h)2 = 4a(Y-k); ( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

• The Parobola Equation in Standard Form is:
Y = (1/4a)X2 - (h/2a)X + (k + h2/4a); ( a = √(h-x1) * (h-x1) + (k - y1) * (k-y1) )

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Examples

(y-2)=3(x-5)^2
foci\:3x^2+2x+5y-6=0
vertices\:x=y^2
axis\:(y-3)^2=8(x-5)
directrix\:(x+3)^2=-20(y-1)

parabola-function-calculator

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Our online expert tutors can answer this problem

Get step-by-step solutions from expert tutors as fast as 15-30 minutes. Your first 5 questions are on us!

You are being redirected to Course Hero

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Correct Answer :)

Let's Try Again :(

Try to further simplify

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Graph

Hide Plot »

Sorry, your browser does not support this application

Examples

directrix\:(y-2)=3(x-5)^2
directrix\:3x^2+2x+5y-6=0
directrix\:x=y^2
directrix\:(y-3)^2=8(x-5)
directrix\:(x+3)^2=-20(y-1)

parabola-function-directrix-calculator

Parabola Calculator is a free online tool that displays the graph for the given parabola equation. BYJU’S online parabola calculator tool makes the calculation faster, and it displays the graph of the parabola in a fraction of seconds.

How to Use the Parabola Calculator?

The procedure to use the parabola calculator is as follows:
Step 1: Enter the parabola equation in the input field
Step 2: Now click the button “Submit” to get the graph
Step 3: Finally, the parabola graph will be displayed in the new window

What is Meant by Parabola?

In Maths, a parabola is one of the types of conic sections. A parabola is a symmetrical plane curve which is formed by the intersection of a right circular cone with a plane surface. It is a U- shaped curve with specific properties. In short, a parabola is a curve such that any point on the curve is at equal distance from a fixed point called locus and a fixed straight line called the directrix. The simplest form of parabola equation is given by y = x2.

What is parabola using focus and Directrix?

What are the focus and directrix of a parabola? Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).

What are the equation of Directrices of parabola?

Equation of parabola	y2 = 4ax	x2 = -4ay
Vertex	(0,0)	(0,0)
Focus	(a,0)	(0, -a)
Equation of directrix	x = -a	y = a

How To Find The Vertex Focus and Directrix Of The Parabola - Byju'sbyjus.com › jee › how-to-find-the-vertex-focus-and-directrix-of-the-parab...null

Write equation of parabola given focus and directrix calculator

Number Line

Graph

Examples

Number Line

Graph

Examples

How to Use the Parabola Calculator?

What is Meant by Parabola?

What is parabola using focus and Directrix?

What are the equation of Directrices of parabola?

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