# How do you find the amplitude, phase shift and period of y = (1/2) sin (3x)?

Amplitude $\frac{1}{2}$ , Phase shift Nil, Period is $\frac{2 \pi}{3}$
Compare the equation with the standard equation of a sinusoidal function, y= A sin(Bx+C) +D. in which A is the Amplitude, Period is $\frac{2 \pi}{B}$, Phase shift is $\left(- \frac{C}{B}\right)$ and D is the vertical shift.
Amplitude here is $\frac{1}{2}$ and there is no phase shift. Period is $\frac{2 \pi}{3}$