Answer
See the picture below.
Work Step by Step
The parent function is $y=x^2$ (in red), but the graph of $g(x)=3\times x^2$ (in blue) will be narrower, as the coefficient multplies each y-value of the parent function by $3$.
For drawing the exact parent graph, here is the table of values:
$f(-2)= -2^2=4$
$f(-1)= -1^2=1$
$f(0)= 0^2=0$
$f(1)= 1^2=1$
$f(2)=2^2=4$
By the use of graph transformation techniques, the graph is stretched by a factor of $3$.
For drawing the exact graph of $g(x)$ here is the table of values of the given function:
$g(-2)=3\times -2^2=12$
$g(-1)=3\times -1^2=3$
$g(0)=3\times 0^2=0$
$g(1)=3\times 1^2=3$
$g(2)=3\times2^2=12$