# How do you find the axis of symmetry, and the maximum or minimum value of the function #y=-2x^2+4x-5#?

##### 1 Answer

Jun 13, 2016

The maximum value is at (1, -3)

#### Explanation:

This is the equation of a parabola.

The standard form is

The axis of symmetry can be found from the formula

That means that as the Turning point will also lie on the axis of symmetry, we know the x-value of the turning point.

This parabola has a maximum T.P. because the value of "a" is negative.

To find the y-value, substitute

The maximum value is at (1, -3)