# How do you graph #Y=abs [-3x] + 2#?

##### 1 Answer

Sep 5, 2017

List the transformations performed and apply it to the base function.

#### Explanation:

First off, it's a lowercase

This function is an absolute value.

There are a total of 3 transformations being done to the function.

- Horizontal compression. With the
#3# inside the absolute value, it affects the horizontal component of the function. It compresses the function by a factor of#1/3# . - The vertical translation. With a positive value of
#2# outside the absolute value, it causes a vertical shift in the function. - Reflection on
#y# -axis. This honestly doesn't matter because it's a reflection off of the#y# -axis, but it's an absolute value, so it doesn't really alter the image - but I say it anyways to prove that the transformation occurred.

In order to graph this, we must consider the base function of

You should get something like this:

graph{|-3x|+2 [-10, 10, -5, 5]}

Hope this helps :)