ΔEFG is translated to ΔE'F'G' using the rule:
To determine the coordinates of each vertex of the triangle after translation you have to add 8 to each x-coordinate of the vertices of ΔEFG and subtract 3 to each y-coordinate.
The addition of 8 units to the x-coordinate will give as a result a horizontal translation of 8 units to the right.
The subtraction of 3 units to each y-coordinate will give as a result a vertical translation of 3 units down.
ΔEFG to ΔE'F'G'
E(-4,8) → E'(-4+8,8-3)= E'(4,5)
F(-2,10) → F'(-2+8,10-3)= F'(6,7)
G(-3,9) → G'(-3+8,9-3)= G'(5,6)
After the translation, the vertices of ΔE'F'G' will have the coordinates:
E'(4,5)
F'(6,7)
G'(5,6)