# How do you graph  y=-2sin3x?

y is periodic, with period $\frac{2 \pi}{3}$..
In $\left[0 , \frac{2 \pi}{3}\right]$, the graph is one full wave, with amplitude 2..
The lowest point is $\left(\frac{\pi}{6} , - 2\right)$. The crest is at$\left(\frac{\pi}{2} , 2\right) .$.
$\left(\frac{\pi}{3} , 0\right)$ on the x-axis bisects this wave..