Answer
$\text{(H)}$
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, $y=-3\sin(2x)$
Amplitude=$|-3|=3$
Period: $T=\frac{2\pi}{2}=\pi$
Also, the sine function has a $y$-intercept at the origin $y=0$.
When $x=\frac{\pi}{4}$, the value of $y$ is
$y=-3\sin{\frac{\pi}{4}}$, which is megative.
The graph that has the same characteristics is $\text{(H)}$.