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Math Help - How do i make a sine function from a graph?

  1. #1
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    How do i make a sine function from a graph?

    I was given a graph, and i assigned an axis and plotted points. i have the max, min, principal axis, amplitude, and period but i dont know now how to make a function in A sin B(x-c) + D form.
    Maximum - 6.45
    Minimum - 1.00
    Principal axis - 3.725
    amplitude - 2.725
    Period - 9.2

    I uploaded a not exact picture of the graph, its the blue line.
    Attached Thumbnails Attached Thumbnails How do i make a sine function from a graph?-graph1.jpg  
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  2. #2
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    Grandad's Avatar
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    General Sine Function

    Hello mathnerd501

    Welcome to Math Help Forum!
    Quote Originally Posted by mathnerd501 View Post
    I was given a graph, and i assigned an axis and plotted points. i have the max, min, principal axis, amplitude, and period but i dont know now how to make a function in A sin B(x-c) + D form.
    Maximum - 6.45
    Minimum - 1.00
    Principal axis - 3.725
    amplitude - 2.725
    Period - 9.2

    I uploaded a not exact picture of the graph, its the blue line.
    For the function A\sin B(x-C)+D:
    The amplitude is A (assuming A > 0)

    The maximum value is D+A

    The minimum value is D-A

    The period is \frac{2\pi}{B}

    The principal axis is where x = C
    If you plug in the values that you've been given, you should be able to write down (or easily work out) all the values. Can you do this OK?

    Grandad
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