Hexagon defghi is translated 6 units down and 6 units to the right. if the coordinates of the pre-image of the point f are (-9,2) what are the coordinates of f

The correct question is
Hexagon DEFGHI is translated 6 units down and 6 units to the right. If the coordinates of the pre-image of the point F are (-9,2) what are the coordinates of F'?

we know that
the transformation has the following rule
(x,y)> (x+6,y-6)
so
(-9,2)> (-9+6,2-6)> (-3,-4)

the answer is
(-3,-4)