Answer
See the picture below.
Work Step by Step
The parent function is $f(x)=\vert x\vert$ (with red), but the graph of $g(x)=\vert -\frac{1}{3} x\vert$ (with blue) will be wider, as the coefficient multiplies each y-value of the parent function by $-\frac{1}{3}$
However, it will not be reflected across the y-axis, as the minus sign is inside the absolute value sign.
For drawing the exact graph of the parent function here is a table of values:
$f(-2)=\mid -2\mid=2$
$f(-1)=\mid -1\mid=1$
$f(0)= \mid 0\mid=0$
$f(1)= \mid 1\mid=1$
$f(2)= \mid 2\mid=2$
By the use of graph transformation techniques, the graph is horizontally stretched by a factor of $3$.
For drawing the exact graph of $g(x)$ here is the table of values of the given function:
$g(-3)=\mid -\frac{1}{3}\times -3\mid=1$
$g(-1)=\mid -\frac{1}{3}\times -1\mid=\frac{1}{3}$
$g(0)=\mid -\frac{1}{3}\times 0\mid=0$
$g(1)=\mid -\frac{1}{3}\times1\mid=\frac{1}{3}$
$g(3)=\mid -\frac{1}{3}\times 3\mid=1$
