# How do you graph #y= 1/3 | x-3 | + 4#?

##### 1 Answer

graph{(1/3)abs(x-3)+4 [-3.865, 11.935, -0.68, 7.22]}

#### Explanation:

Let's start with the function

graph{y=x [-10, 10, -5, 5]}

First, we're taking the absolute value, meaning every negative

graph{y=absx [-10,10,-5,5]}

Now, we have the function in terms of:

where

The parameter

graph{1/3absx}

Next, the h value determines how far right we shift the function. **NOTE: By default, the value is negative. If there is. a plus sign, you shift this function left.**

Since this value is 3, we shift this three units right.

graph{y=1/3abs(x-3)}

Finally, we have the lonely

graph{y=1/3abs(x-3)+4 [-3,11,-1,8]}