We have the A point:
[tex]\begin{gathered} x=-3 \\ y=1 \end{gathered}[/tex]And the A' point:
[tex]\begin{gathered} x^{\prime}=5 \\ y^{\prime}=5 \end{gathered}[/tex]So:
[tex]\begin{gathered} 5=-3+nx \\ nx=5+3=8 \\ 5=1+ny \\ ny=5-1=4 \end{gathered}[/tex]Then, the correct answer is A:
[tex]\begin{gathered} x+8=-3+8=5 \\ y+4=1+4=5 \end{gathered}[/tex]