Explanation:
this is only simple.
on the graph we have the original coordinates and the target coordinates. and then we check the difference.
E = (-8, -9)
F = (-2, -8)
E' = (1, 1)
F' = (7, 2)
the change (shift) in the x coordinate from E to E' is
1 - -8 = 1 + 8 = +9
the change (shift) in the y coordinate from E to E' is
1 - -9 = 1 + 9 = +10
so, the translation is
(x + 9, y + 10)
let's check with F and F'
for x : -2 + 9 = 7
for y : -8 + 10 = 2
and F' = (7, 2)
all correct.