Since this is a 3D object, the center of the sphere has 3 coordinates: x=2, y = -6 and z = 4.
The equation would be:
(x-2)^2 + (y+6)^2 + (z-4)^2 = 5^2 (answer).
To find the equation of the intersection of this sphere with the xy plane, let z = 0. Then (x-2)^2 + (y+6)^2 + (0-4)^2 = 25
This simplifies to (x-2)^2 + (y+6)^2 = 5^2 (or 25).
Find and describe the sphere's intersections with the other 2 coord. planes.
