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Math Help - graphic

  1. #1
    Senior Member furor celtica's Avatar
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    graphic

    on the same set of axes plot the graphs of y = sin alpha, y = 2sin alpha, y = 3 sin alpha. what can you deduce about the relationship between the curves y = sin alpha and y = k sin alpha?
    well from the graph (from a graphic calculator btw) the result is pretty obvious, ijsut dont know the appropriate term to describe it. increase in y, what? some specific transformation?
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  2. #2
    Senior Member Twig's Avatar
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    Hi

    y=k\cdot sin(\alpha)

    k means the amplitude, that is, the maximum 'height and depth' of the curve.

    You could say that  k \mapsto k\cdot sin(\alpha) is a transformation from  \mathbb{R} \mbox{ to } \mathbb{R} , and the codomain of  k\cdot sin(\alpha) is  [-k,k]
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  3. #3
    Senior Member furor celtica's Avatar
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    thats very pretty im sure but it doesnt make sense to me yet, it has to be something simpler. thanks anyways
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  4. #4
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    Quote Originally Posted by furor celtica View Post
    thats very pretty im sure but it doesnt make sense to me yet, it has to be something simpler. thanks anyways
    The "amplitude" furor celtica mentioned is the "height" the graph reaches above and below the alpha-axis. Multiplying sin(alpha) by k multiplies the height by k. That is pretty much what furor celtica said but I can't imagine any simpler way of saying it.
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  5. #5
    Senior Member furor celtica's Avatar
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    im furor celtica btw
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