SOLUTION: Sketch the graph of a wave with a period of 0.5 and an amplitude of 3.

Algebra ->  Trigonometry-basics -> SOLUTION: Sketch the graph of a wave with a period of 0.5 and an amplitude of 3.      Log On


   



Question 737661:
Sketch the graph of a wave with a period of 0.5 and an amplitude of 3.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch the graph of a wave with a period of 0.5 and an amplitude of 3.
***
Basic equation of sin wave:y=Asin(Bx-C), A=amplitude, period=2π/B, phase shift=C/B
For given problem:
A=3
Period=2π/B=0.5
1/4 period=.5/4=0.125
B=2π/.5=4π
Equation: y=3sin(4πx-C)
Coordinates of graph for one period:
(0,0), (.125,3), (.25,0), (.375,-3), (.5,0)