Equation of a Parabola
Equation of parabola can be written in standard form or general form and both of them are added below:
General Equations of a Parabola
The general equation of a parabola is,
y = 4a(x – h)2 + k
(or)
x = 4a(y – k)2 + h
Where (h, k) is the vertex of a parabola.
Standard Equations of a Parabola
The standard equation of a parabola is,
y = ax2 + bx + c
(or)
x = ay2 + by + c
where, a can never be zero.
Standard Equation of a Parabola
Standard form of a parabola is y = ax2 + bx + c where a, b, and c are real numbers and a is not equal to zero. A parabola is defined as the set of all points in a plane that are equidistant from a fixed line and a fixed point in the plane.
In this article, we will understand what is a Parabola, the standard equation of a Parabola, related examples and others in detail.
Table of Content
- What is a Parabola?
- Equation of a Parabola
- General Equations of a Parabola
- Standard Equations of a Parabola
- Parts of a Parabola
- Examples on Equation of a Parabola
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