# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y = x^2 - 2x - 10#?

##### 2 Answers

Complete the square

#### Explanation:

In this case, completing the square would give you:

Once in this form

Axis of symmetry:

#### Explanation:

graph{x^2-2x-10 [-28.52, 29.22, -14.43, 14.45]}

A quadratic equation in standard form is

To find the axis of symmetry, use the formula

The graph above shows that the parabola is an upward-facing one, so it has a **minimum** value. The max or min is always on the axis of symmetry, so you can substitute

So, the axis of symmetry is