Determine the period and the phase shift of f(x) = 3sin (2x-π)

Question

Determine the period and the phase shift of f(x) = 3sin (2x-π), hence plot on graph paper of f(x) for π /2 < x < 3π/2

Answer 1

If we rewrite f(x)=3sin(2(x-pi/2)), then we have amplitude=3, period=2pi/2=pi, and phase shift=-pi/2.