Given #y=3cos(pi(x)-pi/2)+1# How does one find amplitude, period, phase shift?

1 Answer
Douglas K.
Apr 26, 2018

Given #y = Acos(Bx+C)+D#
The amplitude is #|A|#
The period is #T = (2pi)/B#
The phase shift is #phi = -C/B#
The vertical shift is #D#

Explanation:

Given: #y=3cos(pi(x)-pi/2)+1#

The amplitude is #3#
The period is #T = 2#
The phase shift is #phi = 1/2#
The vertical shift is 1

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