A sine function has an amplitude of 3, period of 6 pi, horizontal shift of 3 pi/2, and vertical shift of -1. What is the y-value of the positive function when x=2 pi?

Answer 1

General form for sin(x):

y = a·sin(b(x-c)) + d



1. a = amplitude = 3
2. b = 2π/period = 2π/6π = 1/3
3. c = horizontal shift = 3π/2
4. d = vertical shift = -1

Fill in the values. Set x = 2π. Use your calculator to compute the answer.