Solution:
Given: Hexagon DEFGHI is translated 8 units down and 3 units to the right.
Coordinates of point F i.e Pre image = (-9,2)
The rule for transformation is
1. If a point (x,y) is translated a units right and b units up ,the coordinate of new point will be = (x +a,y+b)
2. If a point (x,y) is translated a units left and b units up ,the coordinate of new point will be = (x -a,y+b)
3. If a point (x,y) is translated a units right and b units down ,the coordinate of new point will be = (x +a,y-b)
4. If a point (x,y) is translated a units left and b units down ,the coordinate of new point will be = (x -a,y-b)
Using the above rule , the coordinates of F'= (-9+3, 2-8)=(-6,-6)→Option (B)