Question

How do you graph and list the amplitude, period, phase shift for `y=sin(3x)+5`?

Answer 1

Amplitude: `1`
Period: `(2pi)/3`
Phase shift: `0`
Vertical shift: `5`

Explanation:

Here is the general form: `y = Asin(Bx + C) + D`

Here is your equation `y = sin(3x) + 5`

The amplitude is, `A = 1`

The period is `T = (2pi)/B` In your case, `T = (2pi)/3`

The phase shift is computed, using `theta = C/B`. In your case, it is 0.

The vertical shift is D. In your case it is 5.