# How do you find the vertex and axis of symmetry, and then graph the parabola given by: #y=x^(2)-2x-15#?

##### 1 Answer

The axis of symmetry is

The vertex is

The x-intercepts are

Refer to the explanation for the process.

#### Explanation:

Given:

where:

The formula for the axis of symmetry and the

Plug in the known values.

Simplify.

To find the

Simplify.

The vertex is

We also need the x-intercepts, which are the values of

Find two numbers that when added equal

The x=intercepts are

**Summary**

The axis of symmetry is

The vertex is

The x-intercepts are

Now plot the vertex and the x-intercepts. Sketch a parabola through the points. Do not connect the dots.

graph{x^2-2x-15 [-14.82, 17.2, -16.08, -0.06]}