Answer
$\text{(D)}$
Work Step by Step
The amplitude and period can be calculated as, if $y=A\sin(wx)$:
Amplitude=$|A|$
period: $T=\frac{2\pi}{w}$
In this function, $y=-2\sin(\frac{1}{2}x)$
Amplitude=$|-2|=2$
Period: $T=\frac{2\pi}{\frac{1}{2}}=4\pi$
Also, the sine function has a y-intercept at the origin, $y=0$.
When $x=\pi$, the value of the function is:
$y=-2\sin{(\frac{\pi}{2})}=-2(1)=-2$
The graph that has the same characteristics is $\text{(D)}$.