Here's what the graph #y= |x|# looks like, the base equation without any transformations. Let's call this the base function.
graph{|x| [-10, 10, -5, 5]}
Now let's add the #-3#.
The use of the "||" brackets around the #-3x# makes the function an absolute value function . That means for every #x# value you put in, the #y# value you receive is the same but positive. So, because this equation is #|-3|#, these brackets make it so you can ignore the negative completely.
Adding the #3# in front of the #x# squishes the graph so that every #y# value is #3# times the base function. (Sort of takes a bit to understand that multiplying the way makes the graph squished).
graph{|-3x| [-10, 10, -5, 5]}
Lastly, the #+2# is a vertical shift, which means that you move the graph up by #2#, so instead of starting the V shape at the #(0,0)#, it moves up by #2#.
graph{|-3x|+2 [-10, 10, -5, 5]}
