# What is the amplitude, period and the phase shift of y=2sin3x?

For a function of the type

$y = A \cdot \sin \left(B \cdot x + C\right) + D$

The amplitude is $A$
The period is $2 \cdot \frac{\pi}{B}$
The phase shift is $- \frac{C}{B}$

The vertical shift is $D$

Hence in our case the amplitude is $2$ , the period is $2 \cdot \frac{\pi}{3}$ and the phase shift is $0$