FIND THE EQUATION OF THE ELLIPSE WITH A CENTER AT (2, 2), VERTICES AT (-3, 2) AND (7, 2), AND FOCI AT (-1, 2) AND (5,2),

Step-by-step explanation:

The standard equation of an ellipse centered at the point (h,k) is

where a is the distance from the center to one of the vertex. We have the relation where c is the distance from one of the focus to the center.

The distance between one vertex and the center is 5. So a=5. The distance from one focue to the center is 3. Then c =3. So we have that

so the equation is