# How do you find the vertex of a parabola without graphing?

##### 1 Answer

Apr 14, 2015

Assuming the parabola has not been rotated

the vertex of the parabola occurs where the derivative of its function is equal to zero.

Determine the general form of the derivative (this should be a linear function in terms of

Set the general form of the derivative to zero and solve for

Substitute the value you obtained for

Example: If the parabola is defined by

the vertex occurs where

The vertex is at