# How do you find absolute value equation from graph?

##### 1 Answer

To find an equation in the form

#### Explanation:

The graph will be shaped like a

The vertex is the point

The graph will have straight lines on both sides of the vertex. To the right of

So after you have found the vertex

Find the slope of the line through the points

Here are two examples:

**Example 1**

graph{y = 5/2abs(x-3) + 2 [-3.9, 16.1, -0.856, 9.145]}

(Use your mouse: wheel to scroll in or out and click, hold and drag the graph around as needed.)

The vertex is at

To find

So

The equation is:

If you want to get rid of the fraction, multiply both sides by

**Example 2**

graph{y = -2abs(x-4)+1 [-1.25, 11.24, -3.97, 2.276]}

Find the vertex:

.

.

.

The vertex is

Find

First find a point to the right of the vertex, then

.

.

.I'll use the point

The equation is