SOLUTION: What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?

Question 631188: What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?
This is an ellipse with vertical major axis.
Its standard form of equation:
, a>b, (h,k)=(x,y) coordinates of the center.
For given ellipse:
center: (0,0)
a=8
a^2=64
..
c=4
c^2=16
..
c^2=a^2-b^2
b^2=a^2-c^2=64-16=48
b≈√48≈6.93
..
equation of given ellipse:

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