Answer:
The correct option is 1.
Step-by-step explanation:
From the given figure it is clear that the vertices of triangle RST are
R(-6,10), T(-10,0) and S(-2,6).
The given composition is , it means the figure dilated by factor 1/2 with center of dilation is origin, then the figure dilated by factor 3/2 with center of dilation is origin.
If a point dilated by factor k with center of dilation is origin, then
The coordinates of S after dilation by factor 1/2 with center of dilation is origin is
The coordinates of S' after dilation by factor 3/2 with center of dilation is origin is
The coordinates of S'' are
Therefore the correct option is 1.