# How do you find the axis of symmetry, and the maximum or minimum value of the function #y=x^2-8x+3#?

##### 1 Answer

This form has a vertical axis of symmetry through the vertex, opening upward. Find the vertex to get the minimum (the

#### Explanation:

Any parabolic equation in the form:

has a vertical axis of symmetry and

Since

has an implied value of

it opens upward

Converting

Complete the square:

which is the vertex form with the vertex at

The minimum value is

and the axis of symmetry is

For verification purposes here is the graph of

graph{x^2-8x+3 [-15.56, 16.48, -15.01, 1.01]}