sine function

Question

A sine function has an amplitude of 4/7, period of 2pi, horizontal shift of - 3pi and vertical shift of 1. 

What is the positive function?

(y=A sin(Bx+C)

Answer 1

y = Asin(Bx+C) + D

 

A = amplitude = 4/7

 

Period = 2π/B = 2π   So, B = 1

 

Horizontal shift = -C/B = -C = -3π    So, C = 3π

 

Vertical shift = D = 1

 

Therefore, y= (4/7)sin(x + 3π) + 1