# What is the graph of the absolute value function #y = 3 - abs(x - 3)#?

##### 1 Answer

Jul 1, 2017

See below

#### Explanation:

Let's look at this problem like this. The graph of

graph{abs(x) [-10, 10, -5, 5]}

Now let's see what thee

graph{abs(x-3) [-10, 10, -5, 5]}

As you can see, it shifted the entire graph

`Finally, let see what the

graph{3-abs(x-3) [-10, 10, -5, 5]}

Basically, the

If the function was