Explanation:
We were given a square with the following vertices:
[tex]\begin{gathered} S(-6.-5) \\ T(-6,0) \\ U(-1,0) \\ V(-1,-5) \end{gathered}[/tex]
The square undergoes a translation of 4 units left and 1 unit up:
4 units LEFT means movement along the negative x-axis & 1 unit up means movement along the positive y-axis. We have:
[tex]\begin{gathered} (x,y)^{\prime}\rightarrow(x-4,y+1) \\ \\ S^{\prime}(x,y)\rightarrow S(-6-4,-5+1) \\ S^{\prime}(-10,-4) \\ \\ T^{\prime}(x,y)\rightarrow T(-6-4,0+1) \\ T^{\prime}(-10,1) \\ \\ U^{\prime}(x,y)\rightarrow U(-1-4,0+1) \\ U^{\prime}(-5,1) \\ \\ V^{\prime}(x,y)\rightarrow V(-1-4,-5+1) \\ V^{\prime}(-5,-4) \end{gathered}[/tex]
