Answer:
Step-by-step explanation:
To translate the figure 8 units left and 5 units down means we need to use a translation rule, which in this case is represented by the following:
[tex](x,y)=(x-8,y-5)[/tex]
Then for the rectangle PQRS, its vertices would be:
[tex]\begin{gathered} S(1,8)\rightarrow S^{\prime}(-7,3) \\ R(5,8)\rightarrow R^{\prime}(-3,3) \\ P(1,-1)\rightarrow P^{\prime}(-7,-6) \\ Q(5,-1)\rightarrow Q^{\prime}(-3,-6) \end{gathered}[/tex]
Graphing it...
