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

1 Answer
Oct 12, 2016

Answer:

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.