See the picture below.
Work Step by Step
The parent function is $y=|x|$ (in red), but the graph of $4|x|$ (in blue) will be narrower, as the coefficient multplies each y-value by 4. By the use of graph transformation techniques, the graph is stretched by a factor of $4$, as the coefficient is greater than 1. For drawing the exact graph of $g(x)$ here is the table of values of the given function: $f(-2)=4\vert -2\vert=8$ $f(-1)=4\vert -1\vert=4$ $f(0)=4\vert 0\vert=0$ $f(1)=4\vert 1\vert=4$ $f(2)=4\vert 2\vert=8$