Find the standard equation for the ellipse, using the given characteristic or characteristics. vertices: (0,+-7) foci: (0,+-√33)

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