The transformation given is translation, this one takes the original points 3 units to the left (since the sign on x is negative) and 4 units up.
The coordinates of the original points are R(-1,0), S(1,1) and T(1,-3), hence the new coordinates are:
[tex]\begin{gathered} R(-1,0)\rightarrow R^{\prime}(-4,4) \\ S(1,1)\rightarrow S^{\prime}(-2,5) \\ T(1,-3)\rightarrow T^{\prime}(-2,1) \end{gathered}[/tex]
Then we have the points:
[tex]\begin{gathered} R^{\prime}(-4,4) \\ S^{\prime}(-2,5) \\ T^{\prime}(-2,1) \end{gathered}[/tex]
This can be seen in the following graph:
The original triangle is in green and the traslated one is in blue.
