Explain how the graph of y = a sin (bx + c) changes for different values a, b, and c.
- Thread starter Nainish
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Harry_the_cat
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May I suggest you try the following:
Use a calculator or graphing software to experiment and look for patterns. Graph:
y= sin (x), y=2 sin(x), y= 3 sin(x), then y= 0.5 sin (x) and then y = -1×sin(x).
Then you tell us what effect a multiplier has out the front.
Can you summarize how y=a×sin(x) compares with y=sin(x)?
Then do a similar thing with y= sin(x) and y = sin (bx).
We can tell you but you'll understand it heaps better if you work it out for yourself.
Use a calculator or graphing software to experiment and look for patterns. Graph:
y= sin (x), y=2 sin(x), y= 3 sin(x), then y= 0.5 sin (x) and then y = -1×sin(x).
Then you tell us what effect a multiplier has out the front.
Can you summarize how y=a×sin(x) compares with y=sin(x)?
Then do a similar thing with y= sin(x) and y = sin (bx).
We can tell you but you'll understand it heaps better if you work it out for yourself.
Dr.Peterson
Elite Member
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- Nov 12, 2017
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- 16,087
Have you learned about transformations, such as vertical and horizontal stretches and shifts or translations?
If so, then you can just apply those ideas. I find it easiest if you rewrite the formula as y = a sin (b(x + c/b)).
D
Deleted member 4993
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Do you know the definitions of:
Wave function
Amplitude (of wave function)
Time period (of wave function) and
Phase shift (of wave function)