How do you find the amplitude, period, vertical and phase shift and graph y=costheta+1/4?

1 Answer
Nov 14, 2016

Please see the explanation

Explanation:

For the general form

y = Acos(Btheta + C) + D

The amplitude is A
The period is, tau = (2pi)/B
The phase shift is, theta = C/B
The vertical shift is D

Matching the above to the given equation y = cos(theta) + 1/4:

The amplitude is 1
The period is tau = (2pi)/1 = 2pi
The phase shift is, theta = 0/1 = 0
The vertical shift is 1/4