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Math Help - Finding Image of a point.

  1. #1
    Senior Member sakonpure6's Avatar
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    Finding Image of a point.

    Nvm, got it. Sorry for the inconvenience.
    Last edited by sakonpure6; September 9th 2013 at 02:18 PM.
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  2. #2
    Senior Member sakonpure6's Avatar
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    Re: Finding Image of a point.

    Since I could not edit the post here is the original problem and solution:

    we have the following function y= -2(f(2(x+5)) -4 and a point (2,3). We are asked to find the "image" of (2,3) on the given function.
    So first of all (2,3) means that y=3 and x=2 which means that 3=f(2).
    To solve for the "image" x, we must do the following 2(x+5)=2 since f(2) must be related to f(2(x+5). Solve for x.

    2(x+5)=2
    x=1-5
    x=-4

    Now to solve for the "image" of y. We know that 3=f(2)=f(2(x+5)) So..

    y=-2(f(2(x+5))-4
    y= -2(f(2))-4
    y= -2(3) -4
    y= -6-4
    y=-10

    There fore the image coordinate of (2,3) on y= -2 (f(2(x+5))-4 is (-4,10).
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