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Math Help - Finding Intercepts

  1. #1
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    Finding Intercepts

    The following problem has me stumped:

    List the intercepts and test for symmetry for the following problem:

    y^2 = x + 4
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by BostonBlaze View Post
    The following problem has me stumped:

    List the intercepts and test for symmetry for the following problem:

    y^2 = x + 4
    |y|=\sqrt{x+4}...so for |0|=\sqrt{4+x} which occurs at x=-4....after that to attain y intercept we first need to solve for y |y|=\sqrt{4+x}\Rightarrow{y=\pm\sqrt{4+x}}....so for y(0)=\pm\sqrt{4+0}=\pm{2}...and for symmetry...since it is NOT a function it is x-axis symmetric...it is not to either hte origin or the y-axis putting in y(-x) will reveal that
    Last edited by Mathstud28; April 22nd 2008 at 04:35 PM.
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  3. #3
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    Quote Originally Posted by Mathstud28 View Post
    |y|=\sqrt{x+4}...so for |0|=\sqrt{4+x} which occurs at x=-4....after that to attain y intercept we first need to solve for y |y|=\sqrt{4+x}\Rightarrow{y=\pm\sqrt{4+x}}....so for y(0)=\pm\sqrt{4+0}=\color{red}\pm{\bold{2}}...and for symmetry...since it is NOT a function it is x-axis symmetric...it is not to either hte origin or the y-axis putting in y(-x) will reveal that
    Sorry, but there is a small typo.
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  4. #4
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    Quote Originally Posted by BostonBlaze View Post
    The following problem has me stumped:

    List the intercepts and test for symmetry for the following problem:

    y^2 = x + 4
    Have you tried plotting the graph? Do you know co-ordinate geometry ? Do you know what is a parabola?
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  5. #5
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by earboth View Post
    Sorry, but there is a small typo.
    THanks for catching that typo!
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