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Thread: Reflection

  1. #1
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    Reflection

    What is the image, x^2 + y^2 + 2x - 9 = 0, after a reflection in the line y = -x + 1?

    I don't even know where to start...
    Last edited by MATNTRNG; Jul 21st 2010 at 04:19 PM.
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  2. #2
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    Quote Originally Posted by MATNTRNG View Post
    What is the image, x^2 + y^2 + 2x - 9 = 0, after a reflection in the line y = -x + 1?

    I don't even know where to start...
    start by getting the equation for the circle in standard form (complete the square).
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  3. #3
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    Replace $\displaystyle x,y $ with $\displaystyle 1 - y' , 1-x' $ respectively .

    Then the equation obtained , $\displaystyle f(x',y') = 0 $ is the reflected image .

    The answer is $\displaystyle x^2 + y^2 - 2x - 4y - 5 = 0 $ .
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