From the given graph
Figure 1 is translated to give figure 2
To determine the transformation, we pick one of the coordiantes of figure 1 to determine the transformation that occurs
For figure 1, one of the coordinates is
[tex](x,y)\Rightarrow(4,-7)[/tex]
For figure 2, the translated coordinates are
[tex](x^{\prime},y^{\prime})\Rightarrow(1,3)[/tex]
Considering the coordinates, the transformation is
[tex]\begin{gathered} (x,y)\Rightarrow(x^{\prime},y^{\prime}) \\ (x+(-3),y+(10)\Rightarrow(4+(-3),-7+(10))\Rightarrow(1,3)\Rightarrow( \\ (x^{\prime},y^{\prime})\Rightarrow(1,3) \end{gathered}[/tex]
Hence, the transformation is
[tex](x+(-3),y+(10))[/tex]