Answer: The answer is (7, 1), (8, -2) and (12, -1).
Step-by-step explanation: Given that the vertices of a triangle are (1, 5), (2, 2) and (6, 3).
We are to find the vertices of the image created after a translation of [tex] (x,y)\Rightarrow (x+6,y-4).[/tex]
We have
[tex] (1,5)\Rightarrow (1+6,5-4)=(7,1),\\\\(2,2)\Rightarrow (2+6,2-4)=(8,-2),\\\\(6,3)\Rightarrow (6+6,3-4)=(12,-1).[/tex]
Thus, new vertices are (7, 1), (8, -2) and (12, -1).