We have to translate the coordinates using the given rule.
The given rule is (x-4,y+3)
Now we have to translate the point A(4,6) using the given rule.
Then,
A' is (4-4,6+3)=(0,9)
Now the point B(-2,3) is to be transformed.
Then,
B' is (-2-4,3+3)=(-6,6)
Hence the answer is A'(0,9) and B'(-6,6)