Answer
See graph
Work Step by Step
We are given the function:
$g(x)=3|x+1|-3$
We start graphing with the basic function $a(x)=|x|$.
We horizontally shift $a(x)$ by one unit to the left to get $b(x)=|x+1|$.
Then we vertically stretch $b(x)$ by a factor of 3 to get $c(x)=3|x+1|$.
Finally we vertically shift $c(x)$ 3 units downward to get $g(x)=3|x+1|-3$.
We use 3 points: $(-2,0),(-1,-3),(0,0)$.
