The coordinates of triangle DEF are D(4,2), E(3,3), and F(2,1). Write a rule for the translation of triangle DEF to triangle D'E'F', so that the centroid of triangle D'E'F' is (6,6).

a) (x, y) → (x + 2, y + 4)
b) (x, y) → (x - 2, y - 4)
c) (x, y) → (x - 2, y + 4)
d) (x, y) → (x + 2, y - 4)