SOLUTION: In words, how are the changes of the function {{{ y = d + a }}} sin {{{ (bx - c) }}} related to the changes for each constant? Can you provide a quick summary? Thanks!

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: In words, how are the changes of the function {{{ y = d + a }}} sin {{{ (bx - c) }}} related to the changes for each constant? Can you provide a quick summary? Thanks!      Log On

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Question 1061849: In words, how are the changes of the function ++y+=+d+%2B+a+ sin +%28bx+-+c%29+ related to the changes for each constant? Can you provide a quick summary? Thanks!
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In words, how are the changes of the function y = d + a*sin(bx - c) related to the changes for each constant? Can you provide a quick summary? Thanks!
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Rewrite as y = d + a*sin(b(x-(c/b))
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|a| determines the amplitude
b determines the period:: Period = (2pi)/b
-(c/b) determines the horizontal shift
d determines the vertical shift
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Cheers,
Stan H.
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Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
In words, how are the changes of the function ++y+=+d+%2B+a+ sin +%28bx+-+c%29+ related to the changes for each constant? Can you provide a quick summary? Thanks!
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Let me tell you what is the correct formulation of this problem. 

     What is the physical/mathematical meaning of the coefficients of the given equation ?"