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Math Help - Determining Values from a Graph

  1. #1
    Newbie
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    May 2011
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    Determining Values from a Graph

    Here is an image of the problem: http://i.imgur.com/Q6wMA.png





    "The solid curve below shows the trigonometric function f(x). It has the form Asin(Bx-C)+D, with C greater or equal to 0. Also shown as a dotted curve is the function sin(x).
    Determine the values of A, B, C, and D."

    Here is what I have done...


    For finding A: (Max-Min)/2 --> (3.2 - -6.7)/2 --> 4.95


    For finding D: (Max+Min)/2 --> (3.2 + -6.7)/2 --> -1.75


    For finding B: Equation for Period is T = (2pi)/B ... From the graph, a period seems to be 2.1 ... 2.1 = (2pi)/B ... B = 2.992


    For finding C: Equation for Phase Shift is Phase Shift = C/B ... From the graph, the phase shift if you go down to -1.75 seems to be .6 from the Y Axis... So... .6 = C/B --> .6 = C/2.992 --> C = 1.7952


    Please help.
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  2. #2
    A Plied Mathematician
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    Pretty darn close, I'd say.
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