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Thread: Sketching Sine Graphs

  1. #1
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    Sketching Sine Graphs

    Hi there!
    How would you sketch this graph?

    y=2sin(x-pi/2)+1
    Any help much appreciated!
    Thank you in advance
    ~Ebony Jade :-)
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  2. #2
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    Re: Sketching Sine Graphs

    Your function is f(x)=2\sin(x-\tfrac{\pi}{2})+1.

    The general sine function is f(t)=A\sin(Bt-C)+D.

    For the general sine function, |A| is the amplitude, B is the period, and D is the vertical shift. You then use \frac{C}{B} to find the phase shift.

    Your function has an amplitude of 2, a period of 1, and a vertical shift of 1. Note that since D is positive, your shift will be 1 unit upward from the x-axis.

    Your phase shift is \frac{C}{B}=\frac{\pi/2}{1}=\pi/2. This means that your phase shift is to the right by \tfrac{\pi}{2}.
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