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

Question

y = 6 cos(2x − (3pi/2))

Amplitude=

Period=

Phase shift=

Answer 1

y = a sin(bx+c)

• a = amplitude
• b = frequency = 1/period
• -c/b = phase shift

 

y = 6 cos(2x − (3pi/2)):

• Amplitude = 6
• Period= 1/2
• Phase shift= 3pi/4