Answer:
(x, y)→(x − 8, y − 7)
Step-by-step explanation:
If we take the hexagon DEFGHI coordinates and apply the rule (x, y)→(x − 8, y − 7) we get:
D (2, 5) → (2 - 8, 5 - 7) = (-6, -2) which corresponds to point D'
E (5, 5) → (5 - 8, 5 - 7) = (-3, -2) which corresponds to point E'
F (6, 3) → (6 - 8, 3 - 7) = (-2, -4) which corresponds to point F'
G (5, 1) → (5 - 8, 1 - 7) = (-3, -6) which corresponds to point G'
H (2, 1) → (2 - 8, 1 - 7) = (-6, -6) which corresponds to point H'
I (1, 3) → (1 - 8, 3 - 7) = (-7, -4) which corresponds to point I'