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Math Help - sine graph

  1. #1
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    sine graph

    i am supposed to find the equation for this graph, (attached)
    in the form of f(x)= asin(bx+c)

    i have the hardest time at drawing graphs. i know how to find the amplitude (which is 2 here) and i know that the period=2pi/B (so the period is pi here. but i cant seem to figure out how to find the phase shift or how to draw the entire graph from just an equation. does anyone have any tips?
    Attached Thumbnails Attached Thumbnails sine graph-math.gif  
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by elizabeth292
    i am supposed to find the equation for this graph, (attached)
    in the form of f(x)= asin(bx+c)
    This needs to be clearer:

    f(x)\ =\ a.sin(b.x+c)
    should do. The problem is that asin is often used to
    denote the arcsin function.

    i have the hardest time at drawing graphs. i know how to find the amplitude (which is 2 here) and i know that the period=2pi/B (so the period is pi here. but i cant seem to figure out how to find the phase shift or how to draw the entire graph from just an equation. does anyone have any tips?
    Your amplitude is OK, but the period is wrong. It is true that the
    period of f(x) is 2\pi/b, but in your plot
    the period is 2, so:

    b\ =\ \pi
    Now f(0)\ =\ 1.8 so:

    2.sin(c)\ =\ 1.8.
    So any solution of:

    c\ =\ arcsin(0.9)
    will be a solution for the phase, presumably you want one in
    either (-\pi, \pi] or [0,\ 2 \pi).

    RonL
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