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#1**+1 **

We have the equation

y = Asin (Bx)

The amplitude = A = 4

Finding B is a little tricky.....we want to solve this :

2pi / Period = B

2pi / [ 3pi / 2 ] = B

4pi / 3pi = B

(4/3) = B

So...the equation becomes

y = 4sin (4/3 x)

Here's the graph for one period : https://www.desmos.com/calculator/ncw51ksw5x

CPhill May 7, 2018