The translation from point (4,-3) to point (1,-6) is given by
[tex](x,y)\longrightarrow\text{ (x-}3,y-3)[/tex]that is, 3 units left and 3 units down. This implies that point (9,-8) will be translated to
[tex](9,-8)\longrightarrow\text{ (9-}3,-8-3)[/tex]then, the answer is (6,-11)