R' (6,-3)
Explanation
Step 1
Let
R(-2, 1)
S(-8, 2)
T(-4, 5)
the law for the translation is 8 units right and 4 units down,it meas you have to add 8 units to x coordinates , and subtract 4 units from y coordinates
[tex](x,y)\rightarrow translation\rightarrow(x+8,y-4)[/tex]Step 2
find the translation for R
[tex]\begin{gathered} R(-2,1)\rightarrow translation\rightarrow R^{\prime}(-2+8,1-4)\rightarrow R^{\prime}(6,-3) \\ \end{gathered}[/tex]so, the answer is C) R' (6,-3)