You might want to start using the Desmos online graphing calculator to help answer questions like this.
Here is a graph containing the parent function (y=|x|), a vertical stretch for the parent (y=3|x|), and the function for this question.
You will see that y =-3|x| is reflects the 3|x| function over the x-axis.
To find h(-3) you are evaluating -3|-3| = -3 (3) = -9. And so on for the other x values.