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Math Help - Help with sinusoidal functions...

  1. #1
    Newbie
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    Help with sinusoidal functions...

    The equation for sinusoidal functions is  y = a (sin)    k (x + \frac{d}{k}) + c where

    "a" is the vertical stretch / compression
    "k" is horizontal stretch / compression
    "c" is vertical shift
    "d/K" is horizontal shift...

    so if a graph is given to me and i need 2 find it's equation... how do i know the horizontal stretch

    i scanned this sheet given by my teacher... if u guyz could do one of the questions for me and explain me how to do it...

    srry about the pencil marks... please ignore them..

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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ruscutie100 View Post
    The equation for sinusoidal functions is  y = a (sin)    k (x + \frac{d}{k}) + c where

    "a" is the vertical stretch / compression
    "k" is horizontal stretch / compression
    "c" is vertical shift
    "d/K" is horizontal shift...

    so if a graph is given to me and i need 2 find it's equation... how do i know the horizontal stretch
    The period of the sinusoid is 2 \pi/k. So determine the period \tau from the diagram, then solve:

    \tau=\frac{2 \pi}{k}

    RonL
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