Answer
Graph "D" is the correct sketching.
Work Step by Step
For $y=-x^2,$
when $x=0, y=0$ and $x=1, y=-1$
The curve passes through $(0,0)$ and $(1,-1)$
Since the graph of $y=-x^2$ is the same as the graph of $y=x^2$ across the x-axis, graph "D" is the correct sketching.