# What is the amplitude, period and the phase shift of  y=-3sin 5x?

Amplitude is 3, period is $\frac{2 \pi}{5}$, and the phase shift is 0 or (0, 0).
The equation can be written as $a \sin \left(b \left(x - c\right)\right) + d$. For sin and cos (but not tan) $| a |$ is the amplitude, $\frac{2 \pi}{|} b |$ is the period, and $c$ and $d$ are the phase shifts. $c$ is the phase shift to the right (positive $x$ direction) and $d$ is the phase shift up (positive $y$ direction). Hope this helps!