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

##### 1 Answer

May 10, 2017

Axis of symmetry

#### Explanation:

we first of all need to complete the square before we find the required information.

half the coefficient of x , square it; then add and subtract it

The bracket is now a perfect square

because the graph is

This minimum occurs at the vertex

ie when

so minimum occurs at

The axis of symmetry is the line through the vertex

ie.

graph{x^2+4x-5[-7,5,-12,5]}

(The scale of the graph is set to show intersection points - it won't look like this on graph paper!!!)