Question

Write the equation of the cosine function with an amplitude of 1/3, a period of 2pi, and a phase shift of 3pi/2.

Answer 1

Amplitude is a fancy way of saying "vertical stretch".

Period of 2pi is a fancy way of saying "horizontal stretch by (2pi)/(2pi)".

Phase shift is a fancy way of saying "horizontal translation".

Answer 2

ok..?

Answer 3

\[ \Large y= {1\over 3} \cos(x-{3\pi\over 2}) \]