# How to write an equation for a parabola

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Given the focus and directrix of a parabola , how do we find the equation of the parabola? 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:. To find the equation of the parabola, equate these two expressions and solve for y 0. Distance between the point x 0 , y 0 and a , b :.

## Equation Of Parabola – Definition, Formula, Solved Examples and FAQs

Parabola Equations MathBitsNotebook. A parabola is a conic section. It is a slice of a right cone parallel to one side a generating line of the cone. Like the circle, the parabola is a quadratic relation , but unlike the circle, either x will be squared or y will be squared, but not both.

### Vertex Form of a Parabola

Search for Math Tutors on Wyzant ». IntMath f orum ». Online Math Solver ». Here is an animation showing how parallel radio waves are collected by a parabolic antenna. The parallel rays reflect off the antenna and meet at a point the red dot, labelled F , called the focus.
This is the vertex form calculator also known as vertex calculator, or even find the vertex calculator. If you want to know how to find the vertex of a parabola , this is the right place to begin. Moreover, our tool teaches you what the vertex form of a quadratic equation is and how to derive the equation of the vertex form or the vertex equation itself. And this is not the end!

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