Original coordinates:
G (-4, 3)
H (4, -3)
I (2, 4)
Translation being used: (x, y) > (x+2, y-3)
Since you are going up two units, then you would add two units to your x. Since you are going down three units, then you subtract three units from your y.
X's new coordinate:
G (-2, __)
H (6, __)
I (4, __)
Y's new coordinate:
G (__, 0)
H (__, -6)
I (__, 1)
New coordinates:
G (-2, 0)
H (6, -6)
I (4, 1)
HOPE THIS HELPS! ^_^