Hello! Remember you have to write complete questions in order to get good and exact answers. This question is incomplete but I'm going to help you assuming some things:
[tex](x',y')\rightarrow (x+4,y+4)[/tex]
For the small rectangle, the vertices are:
[tex]A(0,0) \\ \\ B(6,0) \\ \\ C(6,4) \\ \\ D(0,4)[/tex]
Therefore, if [tex](6,4)[/tex] lies on the small rectangle, for the large rectangle we have:
[tex](x',y')=(6+4,4+4)=(10,4)[/tex]
In conclusion:
If point [tex](6,6)[/tex] lies on the small rectangle, then [tex](10,4)[/tex] lies on the large rectangle.
