1)
The transformation given is
[tex]T(x,y)\rightarrow(x-6,y)[/tex]this means that we have to substract 6 to every x coordinate.
The new coordinates are:
[tex]\begin{gathered} S(7,-5)\rightarrow S^{\prime}(1,-5) \\ K(9,-4)\rightarrow K^{\prime}(3,-4) \\ I(8,-7)\rightarrow I^{\prime}(2,-7) \\ R(9,-9)\rightarrow R^{\prime}(3,-9) \\ T(7,-8)\rightarrow T^{\prime}(1,-8) \end{gathered}[/tex]2)
A reflection across the x axis is given by:
[tex](x,y)\rightarrow(x,-y)[/tex]The new coordinates are:
[tex]\begin{gathered} S^{\prime}(1,-5)\rightarrow S^{\doubleprime}(1,5) \\ K^{\prime}(3,-4)\rightarrow K^{\doubleprime}(3,4) \\ I^{\prime}(2,-7)\rightarrow I^{\doubleprime}(2,7) \\ R^{\prime}(3,-9)\rightarrow R^{\doubleprime}(3,9) \\ T^{\prime}(1,-8)\rightarrow T^{\doubleprime}(1,8) \end{gathered}[/tex]3)