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Math Help - I Need Help On Ellipses Please!

  1. #1
    cutie
    Guest

    Unhappy I Need Help On Ellipses Please!

    ok..so it says to write equation for ellipse that satisfies each set of conditions.
    the endpoints of major axis at (3,2) & (3,-14), endpoints of minor axis at (-1,-6) & (7, -6).
    HOW DO I DO THIS?
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  2. #2
    Super Member

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    Hello, cutie!

    Sorry, I have to ask this: Do you know anything about ellipses?

    The general equation of al ellipse is: \frac{(x - h)^2}{a^2} + \frac{y-k)^2}{b^2}\;=\;1
    . . where (h,k) is the center of the ellipse
    . . and a and b are the "x-radius" and "y-radius", respectively.

    You have to locate the center, then find a ("half the width")
    and b ("half the height") . . . and drop them into the formula.

    Write equation for ellipse that satisfies each set of conditions:
    the endpoints of major axis at (3,2) & (3,-14),
    endpoints of minor axis at (-1,-6) & (7, -6).
    I don't suppose you tried to make a sketch . . .
    Code:
                  |
                  |   (3,2)
                  |     *
        ----------+-----:------------ 
                  |0    :
                  |     :
                  |     :
        (-1,-6) * + - - o - - - * (7,-6)
                  |     :
                  |     :
                  |     :
                  |     : 
                  |     *
                  |   3,-14)
    Can you see that the center is at (3,-6) . . . and that a = 4,\;b = 8?
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