You're given that the center is at (1,2); focus at (1,4); passing through the point (2,2)

You need to find the equation for the ellipse and graph it.

My problem is that I'm not sure how to find a and b with the given information. I've already found that c = 2, since the distance from the center to the focus is c, and 4 -2 = 2.

I've also found that since the center = (h,k), h =1 and k = 2. Now I'm not sure what to do next to find a and b.