Answer:
A translation 2 units right and then a reflection over the x-axis
Step-by-step explanation:
The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)
The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)
The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST
A translation of ΔRST 2 units right gives;
(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;
(2, 0), (0, 3), and (-1, 1)
A reflection of the point (x, y) across the x-axis gives (x, -y)
A reflection of the above points across the x-axis gives;
(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1) reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'
Therefore, the sequence of transformations that produces R'S'T' from RST are;
A translation 2 units right and then a reflection over the x-axis
