How do you use transformation to graph the sin function and determine the amplitude and period of #y=3sin(1/2x)-2#?

1 Answer
Daniel H.
Feb 16, 2018

The amplitude is 3 and the period is #4\pi#

Explanation:

One way to write the general form of the sine function is
#Asin(B\theta+C)+D#

A = amplitude, so 3 in this case

B is the period and is defined as #Period = {2\pi}/B#

So, to solve for B, #1/2 = {2\pi}/B->B/2 = 2\pi-> B=4\pi#

This sine function is also translated 2 units down on the y axis.

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