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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

Finding the equation for the conic described . . . Please Help?

Find the equation for the conic described

Ellipse with endpoints of the major axis at (-4,3) and (2,3) and endpoints of the minor axis at (-1,5) and (-1,1)

Thanks!!!

2 Answers

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  • Polyhymnio
    Lv 7
    1 decade ago
    Favorite Answer

    Center is at (–1, 3), the semimajor axis is 3 units long and is horizontal, the semiminor axis is 2 units long. The equation is then

    (x + 1)²/9 + (y – 3)²/4 = 1

  • David
    Lv 6
    1 decade ago

    From your data we can determine that the center is at (-1, 3), that the axes of the are parallel to the x and y axes, that a = 3 parallel to the x axis, and that b = 2 parallel to the y axis.

    So the equation is

    ((x + 1)^2 / 9) + ((y - 3)^2 / 4) = 1

    or

    4 (x + 1)^2 + 9 (y - 3)^2 = 36.

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