According to the problem, we have the following transformations:
• A translation of 1 unit left.
,
• A translation of 6 units down.
Remember that a translation to the left means we have to subtract from the x-value, and a translation down means we have to subtract from the y-value. Let's apply the transformations to each vertex.
[tex]\begin{gathered} V(3,9)\rightarrow V^{\prime}(3-1,9-6)\rightarrow V^{\prime}(2,3) \\ U(3,-1)\rightarrow U^{\prime}(3-1,-1-6)\rightarrow U^{\prime}(2,-7) \\ W(-5,-1)\rightarrow W^{\prime}(-5-1,-1-6)\rightarrow W^{\prime}(-6,-7) \end{gathered}[/tex]
Once we have the new vertices, we proceed to plot them and draw the translated figure.
