# How do you graph #y=1/3abs(x-3)+4#?

##### 1 Answer

#### Answer:

Use the definition of the absolute value function:

#### Explanation:

Applying the definition to the given equation:

Simplify the inequalities:

Distribute the

Combine the constants:

Check for continuity by evaluating both at x = 3:

In both cases,

You graph

using two rays, originating a the point

A point for the ray on the right side is

A point for the ray on the left side is

graph{1/3abs(x-3)+4 [-23.65, 27.66, -2.88, 22.78]}