As shown in the question, the translation changes the points as follows:
[tex](x,y)\rightarrow(x+2,y-2)[/tex]
Therefore:
[tex]\begin{gathered} C(-5,-1)\rightarrow C^{\prime}(-3,-3) \\ D(-4,3)\rightarrow D^{\prime}(-2,1) \\ E(-3,2)\rightarrow E^{\prime}(-1,0) \\ F(-2,0)\rightarrow F^{\prime}(0,-2) \end{gathered}[/tex]
