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Math Help - Absolute(y)

  1. #1
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    Absolute(y)

    Does anyone know a piece of advice, how to draw graphs like

    abs(y)=1-x^2?

    thanks
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  2. #2
    Super Member Failure's Avatar
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    Quote Originally Posted by Schdero View Post
    Does anyone know a piece of advice, how to draw graphs like

    abs(y)=1-x^2?

    thanks
    |y|=1-x^2 just meas that y=1-x^2 or -y=1-x^2.

    Therefore you can just draw the graph of y=1-x^2, and then draw that graph again, but flipped around the x-axis (which changes the sign of the y-coordinates only).
    Of course, the resulting figure is not the graph of a function, but it is the graph of a relation (between x and y).
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  3. #3
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by Schdero View Post
    Does anyone know a piece of advice, how to draw graphs like

    abs(y)=1-x^2?

    thanks
    our function

    \left\{\begin{array}{cc} y=1-x^2 ,&\mbox y\geq 0 \\-y=1-x^2 ,&\mbox y<0 \end{array}\right.

    draw the two functions we have
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  4. #4
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    Thank s to both!
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