Math - Ellipses

Foci (0,-3)(0,3)
Vertices (0,-4)(0,4)
Find the standard form

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asked by Eric
  1. Foci: (0,-3) (0,3).
    Vertices: (0,-4) (0,4).

    The X-coordinate of the Foci and Vertices are constant at zero while the
    Y-coordinates varies. Therefore, we have a y-Elipwse. So a^2 will be located under Y^2:

    X^2/b^2 + Y^2/a^2 = 1.

    a^2 = 4^2 = 16.

    F^2 = a^2 - b^2 = 3^2,
    16 - b^2 = 9,
    b^2 = 7.
    b = sqrt7.

    Eq: X^2/7 + y^2/16 = 1.

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    posted by Henry

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