Algebra 2 Common Core

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.
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.