The following equation applies to the next four problem y 2

The following equation applies to the next four problem: y = 2 cos (4x - pi/2) Find the amplitude -2 2 4 8 none Find the phase shift pi/2 -pi/2 -pi/8 pi/8 none Find the period -pi/2 pi/2 pi/4 8 pi None Which most nearly represents the graph?

Solution

y=2cos(4x- pi/2)

This equation isof the form

t=A cos (Bx-C)

where A is the amplitude

phase shift=C/B

period=2pi/B

And in the given quation A=2 ,B= 4,C=pi/2

Therefore amplitude=2

phase shift=pi/2/4=pi/8

Period= 2pi/4= pi/2