See the picture below.
Work Step by Step
The parent function is $y=|x|$ (in red), but the graph of $3|x|$ (in blue) will be narrower, as the coefficient triples each y-value. By the use of graph transformation techniques, the graph is by a factor of $3$, 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: $f(-2)=3\vert -2\vert=6$ $f(-1)=3\vert -1\vert=3$ $f(0)=3\vert 0\vert=0$ $f(1)=3\vert 1\vert=3$ $f(2)=3\vert 2\vert=6$