Answer:
C. (-5,1)
Explanation:
One point in the pre-image has the coordinates (-3, 7)
The translation rule is given below:
[tex](x,y)\to(x-2,y-6)[/tex]Therefore, the coordinates of its image will be:
[tex]\begin{gathered} \mleft(-3,7\mright)\to\mleft(-3-2,7-6\mright) \\ =(-5,1) \end{gathered}[/tex]The correct choice is C.