Question

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

Answer 1

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