Write an equation in terms of x and y for the function that

Write an equation in terms of x and y for the function that is described by the given characteristics. A sine curve with a period of , an amplitude of 5, a right phase shift of /2, and a vertical translation up 2 units.

Solution

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

amplitude A=5 ,

period 2_/B=

=>B=2

right phase shift of /2

=>-C_/B=/2

=>-C_/2=/2

=>C=-

vertical translation up 2 units

=>D=2

equation is  y=5sin(2x-) +2