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