we know that
The translation R to R' is
\(R(2,1)-------> R'(-4,8)\)
so
the rule of the translation is
\((x,y)-------> (x-6,y+7)\)
that means
The translation is \(6\) units to the left and \(7\) units up
Find the coordinates of S'
Applying the rule of the translation
\(S(3,2)------->S'(3-6,2+7)\)
\(S(3,2)------->S'(-3,9)\)
therefore
the answer is
The coordinates of point \(S'(-3,9)\)