Find the center of a dilation that maps (2,2)(2, 2)(2,2) to (4,4)(4, 4)(4,4) with scale factor k=3k=3k=3.
(0,0)(0, 0)(0,0)
(1,1)(1, 1)(1,1)
(3,3)(3, 3)(3,3)
(2,2)(2, 2)(2,2)