An ellipse has vertices along the major axis at (0, 8) and (0, –2). the foci of the ellipse are located at (0, 7) and (0, –1). what are the values of a, b, h, and k, given the equation below? (y-k)^2/a^2+(x+h)^2/b^2=1

Check the picture below, so it looks like so.

now  hmm, from the provided vertices and focus point, you can pretty much  see what "a" is, half of the major axis, is just 5.

now, the center is from either vertex to half-way up, or "a" units up, so say from -2 + 5, is at 3, so the center is at 0, 3.

now, the distance from a focus point to the center, is 4 units, like say from 0, 3 up to 0,7.



now, let' s find "b".



so, just plug that in.