(2,2), (4,2), (4,4), (3,5) and (2,4) moved exactly 4 blocks to the left and 2 blocks down.

The new coordinates of the points after moving 4 blocks to the left and 2 blocks down would be:

(2 - 4, 2 - 2) = (-2, 0)
(4 - 4, 2 - 2) = (0, 0)
(4 - 4, 4 - 2) = (0, 2)
(3 - 4, 5 - 2) = (-1, 3)
(2 - 4, 4 - 2) = (-2, 2)