Find the amplitude, period, and phase shift of thee function.

Question

fx=4cos(2x-(3pi/2))

Answer 1

Given f(x) = Acos(B(x - C)) + D,

 

amplitude: |A|

 

period: 2pi/B

 

phase shift: BC

 

horizontal shift: C

 

vertical shift: D

 

 

 

f(x) = 4cos(2x - (3pi/2))

 

 

The amplitude is 4.

 

The period is 2pi/2 = pi.

 

The phase shift is 3pi/2.