SOLUTION: Find an equation for the conic that satisfies the given conditions. Ellipse foci (0, 2), (0, 6) vertices (0, 0), (0, 8)

Question 877408: Find an equation for the conic that satisfies the given conditions.
Ellipse foci (0, 2), (0, 6) vertices (0, 0), (0, 8)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find an equation for the conic that satisfies the given conditions.
Ellipse foci (0, 2), (0, 6) vertices (0, 0), (0, 8)
***
Given data show ellipse has a vertical major axis.
Its standard form of equation: , a>b, (h,k)=coordinates of center
For given ellipse:
center: (0,4)
length of vertical major axis=8=2a
a=4
a^2=16
c=3(distance from center to foci)
c^2=9
c^2=a^2-b^2
b^2=a^2-c^2=16-9=7
equation:
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