# How do you graph #y = 2 | x - 1 | - 3#?

##### 1 Answer

Substitute the definition:

Simplify the domain restrictions and the equation.

Start at the common point plot and plot the two rays extending from that point.

#### Explanation:

Given:

Substitute

Substitute

Simplify the domain restrictions:

Simplify the equations:

Please observe that the common point is

Another point on the line with positive slope is

Another point on the line with negative slope is

The following is a graph of the function:

graph{y=2|x-1|-3 [-14.24, 14.24, -7.12, 7.12]}