What is the equation of the ellipse with foci (0, 6), (0, -6) and co-vertices (2, 0), (-2, 0)?

So hmm if you check the picture below

those are the given foci and co-vertices

so, since the co-vertices are at 2,0 and -2,0 that makes the center, at the origin and the "b" component 2, so the minor axis is just 2+2 or 4

now, what's the major axis? or what is the "a" component?

based on the provided points, is a vertical ellipse, that means the major axis runs over the y-axis and thus the "a" or larger denominator, lies under the fraction with the "y"

now

56 ur welcome: