# How do you find the axis of symmetry, and the maximum or minimum value of the function #y=x^2+5x-7#?

##### 1 Answer

Nov 22, 2017

Axis of symmetry is

and

#### Explanation:

This is the equation of a parabola in standard form, i.e.:

Here,

This parabola opens up as we can see:

graph{x^2+5x-7 [-30.32, 30.32, -15.16, 15.16]}

The axis of symmetry is a vertical line and goes through the vertex. The

Therefore the axis of symmetry is

This function does not have a maximum as it goes to infinity on both sides. Its minimum is at its vertex. We can find it by finding the value of