Consider the following.
The xy-coordinate plane is given. The curve starts at the point (0, 4), goes down and right, changes direction at the point (2, 0), goes down and left, changes direction at the point (0, -4), goes up and left, changes direction at the point (-2, 0), goes up and right, continuing until it reaches its starting point.
Find an equation of the ellipse.
Find its foci.
smaller y-value
(x, y) =
larger y-value
(x, y) =