A translation is defined as:
[tex](x,y)\rightarrow(x+a,y+b)[/tex]
To do the translation we have to know the original vertexes coordinates. We have A(-6,2) B(-2,4) and C(-4,-4). Using the translation given we have:
[tex]\begin{gathered} A(-6,2)\rightarrow A^{\prime}(0,0) \\ B(-2,4)\rightarrow B^{\prime}(4,2) \\ C(-4,-4)\rightarrow C^{\prime}(2,-6) \end{gathered}[/tex]
Therefore:
[tex]\begin{gathered} A^{\prime}(0,0) \\ B^{\prime}(4,2) \\ C^{\prime}(2,-6) \end{gathered}[/tex]
The graph is:
