As per given by the question,
There are given that the coordinates of the image is
Where, x=-8 and y=7 like, k(x, y).
Now,
There are also given that the coordinates after translation.
then,
Put x =-8 and y= 7 into the above coordinates instead of x and y.
So,
The coordinates after translation is (-18, 5).
Hence, the option A is correct.