SOLUTION: Find an equation of the ellipse that has center −2,5 , a minor axis of length 2 , and a vertex at −4,5

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Question 979666: Find an equation of the ellipse that has center
−2,5
, a minor axis of length
2
, and a vertex at
−4,5

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
From the center to the vertex is length 2, and the whole axis is length 4. This is the major axis, and the vertices of the ellipse will be (0,5) and (-4,5). It will be longest along the x-axis. The co-vertices have length 1 from the center and will be along the y-axis. They are (-2,4) and (-2,6). The semi-major axis is squared and put in the denominator for x in this instance and the semi-minor axis of 1 squared is just one.
The center is offset from the origin.
(x+2)^2/4 +(y-5)^2 =1