Ellipse equation?

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(x-2)^2 / 49 + (y+1)^2 / 25 = 1

a.) what are the vertices?

b.) What are the major and minor axises?

I always have troubling understanding how to find these. :(

Any help is greatly appreciated!

  • Ellipse equation? -

    for x^2/a^2 + y^2/b^2 = 1,

    semi-major axes are a and b. Select the larger for major, smaller for minor.

    so, here major=14, minor=10

    foci are on the major axis, at distance c from center, where a^2 = b^2 + c^2

    so, c = √(49-25) = √24 = 2√6

    Knowing the distances, and the center, and the direction of the major axis, you can easily write the coordinates of the foci and vertices.

  • Ellipse equation? -

    Thank you, @Steve !

    Would you happen to know how to find the Foci for this equation?!?!

    :)

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