Step 1:
Write the coordinate of the pre-image
D =(4,-1)
G = (2, -4)
I = (5, -5)
Step 2:
Write the rule
(x, y) = (x - 7. -y+2)
Step 3
Write the coordinates of the image
D (4,-1) = (4 - 7, 1+2) = (-3,3)
G (2, -4) = (2-7, 4+2) = (-5, 6)
I (5, -5) = (5-7, 5+2) = (-2,7)
Final answer
Coordinates of the image
D' = (-3,3)
G' = (-5,6)
I' = (-2, 7)