Answer
Graph "F" is the correct sketching.
Work Step by Step
For $y=2x^2,$
when $x=0, y=0$ and $x=1, y=2$
The curve passes through $(0,0)$ and $(1,2)$
Since the graph of $y=2x^2$ is vertical stretched twice of the graph of $y=x^2$, graph "F" is the correct sketching.