Given :
R'S'T' is the image of RST
we will find the rule of translation using the coordinates of :
[tex]\begin{gathered} R=(-4,5) \\ R^{\prime}=(3,2) \end{gathered}[/tex]
So, the rule will have the form :
[tex]\begin{gathered} R\rightarrow R^{\prime} \\ (x,y)\rightarrow(x+h,y+k) \end{gathered}[/tex][tex]\begin{gathered} 3=-4+h\rightarrow h=7 \\ 2=5+k\rightarrow k=-3 \end{gathered}[/tex]
So, the answer is :
T(7,-3)
7 units right ; 3 units down
