Write the equation of a sine or cosine function to describe

Write the equation of a sine or cosine function to describe the graph.

comparing with y=Asin(Bx+C) +D

midline y=3

amplitude A=(5-1)/2 =2

period 2/B =((8/3) -0)

2/B=8/3

B=(2)*3/(8)

B=3/4

phase shift -C/B =2/3

C/(3/4) =-2/3

C=-/2

vertical shift D =3

the equation is y =2sin((3/4)x -(/2)) +3