Question

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

Answer 1

Amplitude `1/2` , Phase shift Nil, Period is `(2pi)/3`

Explanation:

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 `(2pi)/B`, Phase shift is `(-C/B)` and D is the vertical shift.

Amplitude here is `1/2` and there is no phase shift. Period is `(2pi)/3`