From the given figure
The vector DE is (2, -2) because E is down D by 2 units and right it by 2 units
Down by 2 units means y = -2, right by 2 units means x = 2
Now we will translate each point by (x + 2, y - 2) [2 units right and 2 units down]
Since A = (2, 2), then
A' = (2 + 2, 2 - 2) = (4, 0)
Since B = (0, 0), then
B' = (0 + 2, 0 - 2) = (2, -2)
Since C = (-2, 2), then
C' = (-2 + 2, 2 - 2) = (0, 0)
The answer is
A' (4, 0)
B' (2, -2)
C' (0, 0)