Reese L.
asked 11/20/21Find an equation of the ellipse with center at (-3,2), one focus at (-3,-5), and one vertex at (-3,-8)
help, please, and thank you!
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Doug C. answered 11/20/21
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Reese L.
wouldn't a=64, c=25, and b=39?
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11/20/21
Doug C.
The center has a y coordinate of 2. The given vertex has a y-coordinate of -8. So the distance from 2 to -8 is 10, which is the value of a. It looks to me like you are thinking the distance from center to vertex is 8, which would give a value of 64 for a^2 (not a). That would be true if the center was at the origin, but it is not. Hopefully you visited the Desmos url to see the graph of the ellipse, its vertices, foci, and the center.
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11/20/21
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Mark M.
Did you draw and label a diagram?11/20/21