Question

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

Answer 1

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