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