Answer
The graph of the given function involves a vertical stretch by a factor of $\frac{3}{2}$ of the parent function $y=|x|$.
Refer to the blue graph below.
Work Step by Step
RECALL:
The graph of the function $y=a|x|$ involves a vertical stretch by a factor of $|a|$ of the parent function $y=|x|$.
The given function has $a=\frac{3}{2}$ therefore the graph of $y=\frac{3}{2}|x|$ involves a vertical stretch by a factor of $\frac{3}{2}$ of the parent function $y=|x|$.
To graph the given function, vertucally stretch the graph of $y=|x|$ by a factor of $\frac{3}{2}$.
This can be done by multiplying each $y$-value of $y=|x|$ by $\frac{3}{2}$ (while retaining the value of $x$).
Refer to the blue graph above.
