# How do you graph the equation #y= |x-2|-4#?

##### 1 Answer

Jul 2, 2017

graph{|x-2|-4 [-10, 10, -5, 5]}

#### Explanation:

We can easily graph the given function using translation properties of functions.

First, consider what the function

# |x| = { (-x, x lt 0), (0, x = 0), (x, x gt 0) :} #

And its graph is therefore:

graph{|x| [-10, 10, -5, 5]}

So then the graph of **right** by

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

Then finally the graph of **down** by

graph{|x-2|-4 [-10, 10, -5, 5]}