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Parabola Equation Solver Calculator
X
Y
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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Number Line
Graph
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Sorry, your browser does not support this applicationExamples
- (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
en
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
Correct Answer :)
Let's Try Again :(
Try to further simplify
Number Line
Graph
Hide Plot »
Sorry, your browser does not support this applicationExamples
- 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
en
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 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 |