The asymptote is the line the graph comes close to but never touches, so if you graph it out you should be able to see it! Sorry I couldn't help any more but good luck
( x, y ) → ( x-3, y+4 )
A ( 1, 1) → A' (1-3, 1+4) A' (-2, 5)
-2. All you’re doing is going from the number you start with and performing the opperations in the order they appear (-4+3-2+6-5=-2)