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Math Help - Graphing an ellipse given its equation in general form

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    Graphing an ellipse given its equation in general form

    4x^2+y^2-32x+60=0
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    Quote Originally Posted by collegealgebra1 View Post
    4x^2+y^2-32x+60=0
    First complete the square:

    \Rightarrow 4(x^2 - 8x) + y^2 + 60 = 0 \Rightarrow 4([x - 4]^2 - 16) + y^2 + 60 = 0 \Rightarrow 4(x - 4)^2 + y^2 = 4.

    Now re-arrange into standard form to see coordinates of centre, lentgth of axes etc.

    Use the original form to get x- and y-intercepts.
    Last edited by ThePerfectHacker; December 7th 2008 at 08:11 PM.
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