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

1 Answer
Jul 5, 2015

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#