Answer:
Choice C is correct
Explanation:
Given the endpoints of the minor axis: (5,5) and (-1,5).
Vertices: (2,13) and (2,-3).
Standard form of ellipse is:
(x-h)^2/a^2 + (y-k)^2/b^2 =1
Minor axis length = 5 - - 1
minor axis = 6
b = 6/2
b = 3
b^2 = 9
Major axis length = 13 - - 3
major axis = 16
a = 16/2
a = 8
a^2 = 64
centre from vertices: midpoint formula
( 2 + 2) / 2 , (13 - 3) / 2
= (2, 5)
plug values in
(x - 2)^2 / 64 + (y - 5)^2 / 9 = 1
so our answer is C or the third choice