The vertices of the triangle are:
(1,4), (1,-2) and (-2,-2).
A translation by the given rule will give the vertices of the image as:
[tex]\begin{gathered} (1,4)\to(1+3,4)=(4,4) \\ (1,-2)\to(1+3,-2)=(4,-2) \\ (-2,-2)\to(-2+3,-2)=(1,-2) \end{gathered}[/tex]
The pre-image(ABC) and image(A'B'C') are drawn in the diagram below:
