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Math Help - Translations of a curve reversal help!

  1. #1
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    Translations of a curve reversal help!

    A curve undergoes three transformations, a translation of -2 in the x-direction, a stretch of SF 3 parallel to the y-axis and a translation of 4 units in the y-direction.
    The resulting equation is y=4x+17/x+2

    Truly stuck where to begin here!
    Obviously if y=x^2 is translated in the same order, it would give y=3(x+2)^2+4
    Any help would be much appreciated
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Translations of a curve reversal help!

    I would write:

    3f(x+2)+4=\frac{4x+17}{x+2}

    3f(x+2)=\frac{9}{x+2}

    f(x+2)=\frac{3}{x+2}

    f(x)=\frac{3}{x}
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  3. #3
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    Re: Translations of a curve reversal help!

    Thanks or the reply. In regards to step 2, how would 4x+17 change to 9 by subtracting 4?
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: Translations of a curve reversal help!

    \frac{4x+17}{x+2}-4=\frac{4x+17-4(x+2)}{x+2}=\frac{4x+17-4x-8}{x+2}=\frac{9}{x+2}
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