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Thread: Hyperbola and Elipse Equations

  1. November 12th 2009, 07:38 AM #1
    Mr.Berlin
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    Hyperbola and Elipse Equations

    Need help with these...or more like I forget algebra.

    4y^2 - x^2 = 1

    4y^2 + x^2 = 1

    Thanks.
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  2. November 12th 2009, 08:48 AM #2
    bigwave
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    4y^2 - x^2 = 1
    this is a hyperbola with the foci on the y axis
    you can ussually tell by the - sign in between
    the general equation is:

    \frac{y^2}{a^2} - \frac{x^2}{b^2} = 1

    where b^2 = c^2 - a^2
    c > a, c > b

    4y^2+ x^2 = 1
    this is an ellipse

    the general equation is:
    \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1
    where b^2 = a^2 - c^2
    a > b, a > c
    Last edited by bigwave; November 12th 2009 at 09:10 AM. Reason: latex
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  3. November 12th 2009, 12:40 PM #3
    Mr.Berlin
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    Yeah, so I have to eliminate the coefficient. Thats' what I can't remember how to do.
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  4. November 12th 2009, 12:51 PM #4
    bigwave
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    basically
    complete the square
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  5. November 12th 2009, 01:23 PM #5
    Mr.Berlin
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    Quote Originally Posted by bigwave View Post
    basically
    complete the square
    Actually I remembered, as obvious as it seems...

    4y^2 = \frac{y^2}{\frac{1}{4}} = \frac{y^2}{\frac{1}{2}^2}
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