What is the amplitude, period, and phase shift of f(x) = −2 sin(3x − π) − 1?

Answer 1

First, need to put this equation in the correct format by factoring out the 3, or B term.

f(x) = -2 sin (3x-π)-1

f(x) = -2 sin 3(x-π/3)-1

The amplitude is the |-2| = 2

The phase shift is π/3 to the right

The period is 2π/B = 2π/3