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 y-value of the positive function at x= pi/2? 

Answer 1

y = a(bsin x - c) + d

 

amplitude = a

period = 2π/b

phase = -c / b

 

y = (4/7)(1sin x + 3π) + 1

y = (4/7)(sin x + 3π) + 1