Answer
See the picture below.
Work Step by Step
The parent function is $y=\vert x\vert$ (in red), but the graph of $g(x)=\frac{3}{4}\vert x\vert$ (in blue) will be wider, as the coefficient multplies each y-value of the parent function by $\frac{3}{4}$
By the use of graphing transformation techniques, the graph is shrinked by a factor of $\frac{4}{3}$
For drawing the exact graph of $g(x)$ here is the table of values of the given function:
$f(-4)=\frac{3}{4}\mid -4\mid=3$
$f(-1)=\frac{3}{4}\mid -1\mid=\frac{3}{4}$
$f(0)=\frac{3}{4}\mid 0\mid=0$
$f(1)=\frac{3}{4}\mid 1\mid=\frac{3}{4}$
$f(4)=\frac{3}{4}\mid 4\mid=3$
