Given:
The image of the point (-2, 3) under translation T is (3, -1)
So, we will find the rule of the translation T
[tex]\begin{gathered} (-2+h,3+k)=(3,-1) \\ -2+h=3\rightarrow h=5 \\ 3+k=-1\rightarrow k=-4 \end{gathered}[/tex]
so, the rule of translation is: shift 5 units right and 4 units down
[tex](x,y)\rightarrow(x+5,y-4)[/tex]
Now, we will find the image of the point (4, 2)
So,
[tex](4,2)\rightarrow(4+5,2-4)=(9,-2)[/tex]
So, the answer will be (9, -2)
