Answer:
Step-by-step explanation:
The equation of this ellipse is
for a vertical oriented ellipse where;
(h,k) is the center
c=distance from center to the foci
a=distance from center to the vertices
b=distance from center to the co-vertices
You know center of an ellipse is half way between the vertices , hence the center (h,k) of this ellipse is (0,0) and its is vertical oriented ellipse
Given that
a= distance between the center and the vertices, a=7
c=distance between the center and the foci, c=√33
Then find b
The equation for the ellipse will be