write the equation of a sine function that amplitude 9 peri

write the equation of a sine function that amplitude = 9, period =4pi, phase shift =1/4

Solution

y =Asin(Bx +C)

amplitude A=9

period =2pi/B=4pi =>B=2pi/4pi =>B=1/2

phase shift =-C/B=1/4

-C/(1/2)=(1/4)

C=-1/8

y =9sin((1/2)x -(1/8)) is equation os sine function