Question 499208: Graph the two periods of the function y=1.5sin(4x)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Graph the two periods of the function y=1.5sin(4x)
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Standard form of equation for sin function: Asin(Bx-C), A=amplitude, Period=2π/B, Phase shift=C/B
For given sin function, y=1.5sin(4x):
Amplitude=1.5
B=4
Period=2π/B=2π/4=π/2
1/4 Period=π/8
Phase shift: none
Graphing.
On the x-axis make tick marks at 0, π/8, 2π/8, 3π/8, 4π/8, 5π/8, 6π/8, 7π/8 and 8π/8. (For clarity I left these fractions as 8th's, but they should be reduced in the final graph). Plug these values into given sin function and you will get the following respective points to graph the function:
(0,0), (π/8,1.5), (π/4, 0), (3π/8,-1.5) (π/2,0), (5π/8,1.5), (3π/2,0), (7π/8,-1.5), and (π, 0)
See graph below as a visual check on the graph:
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