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