Using the following given,
[tex]\begin{gathered} (x,y)\Rightarrow(x-5,-y+2) \\ (5,7) \end{gathered}[/tex]
substitute the given coordinates to the new coordinates.
[tex](5,7)\Rightarrow(5-5,-7+2)[/tex]
Simplify the coordinates.
[tex](5,7)\Rightarrow(0,-5)[/tex]
Thus, the coordinates of A' is (0, -5).
