Given the ellipse with foci at (5,3) and (5,-5) and a major axis length of 12, determine the center using ( , ) and the denominators of the equation

Question

Center(x )^2/?, (y )^2/?=1

Answer 1

center is halfway between foci, at (5,-1)
semi-major axis vertical, length 6
for semi-minor axis, b^2 = a^2 - c^2 = 36-16=20

(x-5)^2/20 + (y+1)^2/36 = 1