Please explain the steps you do to get the answerSolutionGen

Please explain the steps you do to get the answer!

General function : y = Asin(Bx +C) +D

Period =4 units

B = 2pi/4

D = 4

A = 3 units .So, y = 3sin(2pi*x/4 +C) +D

Graph passes through ( 4,4)

y = 3sin(2pi*x/4 + C) + 4

4 = 3sin(C) +4

3sin(C) = 0 ----> C =pi

y = 3sin(pi*x/2 +pi) +4

C = pi/2 ; D = 1

3sin(2pi/4 +C) =0

2pi/4 +C = pi ---> C = pi

so,

y = 3 sin(pi*x/2 + pi) +4