The transformation subtracts 3 units from the x coordinates and adds two units to the y coordinate. With this in mind we can calculate the images of the points:
[tex]\begin{gathered} D^{\prime}=(4-3,-1+2)=(1,1) \\ E^{\prime}=(7-3,3+2)=(4,5) \\ F^{\prime}=(7-3,-1+2)=(4,1) \end{gathered}[/tex]