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