Question 979635: Find an equation of the ellipse that has a center (-4,3) a minor axis length of 10 and a vertex at (-4,-5)
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! (x+4)^2/25 + (y-3)^2/64 =1
the minor axis has length 10, so the semi-minor axis is length 5. Square 5 to get 25.
There is a vertex at (-4,-5) and center at (-4,3), so at the same x value there are different ys. The length of half of that (semi major axis) is 8, and that is placed vertically, so that goes under the y-component. Set the two (sum) equal to 1. The co-vertices are at (-9,3) and (1,3). This is a vertically placed ellipse.
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