Translation of
2 units right ,then x'= x + 2
3 units down , then y'= y-3
THEN , new coordinates for vertices are
For U = (x,y) = (-4,9) transforms in U' = (-4+2,9-3)= (-2,6)
For T= (x,y)= ( 0,9) transforms in T'= (0+2, 9-3) = (2,6)
For R= (x,y)= (-4,3). Transforms in R'= (-4+2, 3-3)= (-2,0)
For S= (x,y)= ( 0,3). Transforms in S'= ( 0+2, 3-3) = (2, 0)