Solution
Step 1:
Write the original coordinates:
A (1,1)
B (4,1)
C (3, -2)
D (4,-2)
E (1,-4)
Step 2
The translation is left 5 units and 2 units up.
A (1-5,1+2)
B (4-5,1+2)
D (3-5, -2+2)
C (4-5,-2+2)
E (1-5,-4+2)
Coordinates of the image.
A' (-4,3)
B' (-1,3)
C' (-2, 0)
D' (-1,0)
E' (-4,-2)