According to the problem, the transformation is a translation of 3 units to the right, which means we have to add 3 to x-values of the vertices.
[tex]\begin{gathered} U(-9,3)\rightarrow U^{\prime}(-9+3,3)\rightarrow U^{\prime}(-6,3) \\ T(0,3)\rightarrow T^{\prime}(0+3,3)\rightarrow T^{\prime}(3,3) \\ S(0,-6)\rightarrow S^{\prime}(0+3,-6)\rightarrow S^{\prime}(3,-6) \\ R(-9,-6)\rightarrow R^{\prime}(-9+3,-6)\rightarrow R^{\prime}(-6,-6) \end{gathered}[/tex]
Once, we have the vertices, we can draw the new figure.
