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Math Help - Graph of Cosecant

  1. #1
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    Graph of Cosecant

    I need help with sketching this graph:
    y=2csc(-x-Pi/2)+1
    (The -x in the equation is what's throwing me off...)

    This is what I know so far:
    Altitude:2
    Period:-2pi
    Phase Shift: Pi/2 (to the right)
    Vertical Shift: 1 (up)

    The x-axis needs to be in radians. So I believe the tick marks on the x-axis should be (from left to right) -2pi, -3pi/2 -pi, -pi/2, pi/2, pi, 3pi/2, and 2pi
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  2. #2
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    Re: Graph of Cosecant

    Hey jls9102.

    Recall that f(-x) takes f(x) and reflects around the y-axis and that f(x-a) shifts the graph a units to the right along the x-axis where a*f(x) stretchs it (and possibly flips it) and finally f(x) + a shifts everything a units up in the direction of the y-axis.

    So consider f(x + pi/2) first and then reflect that on the y-axis and take it from there.
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  3. #3
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    Re: Graph of Cosecant

    Ok so ultimately will the equation look like this:
    y=-2csc(x+Pi/2)+1

    Or would it change to:
    y=-2csc(x+Pi/2)-1
    Last edited by jls9102; November 9th 2012 at 11:27 AM.
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