SOLUTION: Write a sine function with the given amplitude, period, phase shift, and vertical shift. amplitude: 2 period: {{{pi}}} phase shift: {{{(-1/8)pi}}} vertical shift: 3

Algebra ->  Trigonometry-basics -> SOLUTION: Write a sine function with the given amplitude, period, phase shift, and vertical shift. amplitude: 2 period: {{{pi}}} phase shift: {{{(-1/8)pi}}} vertical shift: 3      Log On


   

Question 753625: Write a sine function with the given amplitude, period, phase shift, and vertical shift.
amplitude: 2
period: pi
phase shift: %28-1%2F8%29pi
vertical shift: 3
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write a sine function with the given amplitude, period, phase shift, and vertical shift.
amplitude: 2
period: pi
phase shift: %28-1%2F8%29pi
vertical shift: 3
***
Basic equation for sine function: y=Asin(Bx-C), A=amplitude, period=2π/B, phase shift(C/B)
For given problem:
A=2
period=π=2π/B
B=2
phase shift=C/B
π/8=C/2
C=π/4
Equation:
y=2sin(2x+π/4)+3