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Math Help - graphing sin x functions

  1. #1
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    Post graphing sin x functions

    Hello. I need help graphing y = 4 sin (-2x). Also what is the amplitude, period and phase shift. Thank you!
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  2. #2
    MHF Contributor Amer's Avatar
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    Jordan
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    do you know the graph of sinx if you know it that will be easy to graph 4sin(-x)
    first

    -1<=sinx <=1 right so -pi/2 < x < pi/2 right this is a half wave with tall one unit just

    but 4sin(-x) tall of the half wave would be 4 not 1

    see this
    graphing sin x functions-sinsin.jpg
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  3. #3
    Super Member
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    If you have a sinusoid in the form of f(x) = a\:\sin [b(x - h)] + k , then the amplitude is |a|, the period is \frac{2\pi}{|b|} , and the phase shift is h . ( k represents the vertical translation.)

    So in your problem the amplitude is 4, the period is π, and the phase shift is 0. In addition, since there is a negative sign in front of the 2, there is a reflection on the x-axis.


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