Posted by Anonymous on Monday, January 6, 2014 at 9:01pm.
RST with vertices R (2, 2) , S (3, 1) , and T (1, 1) is translated by
(x, y) →
(x  1, y + 3) . Then the image, RST , is translated by
(x, y) →
(x + 4, y  1) , resulting in R "S"T ".
a. Find the coordinates for the vertices of R "S"T ".

geometry  Reiny, Monday, January 6, 2014 at 9:09pm
so we are doing:
(x,y) >(x1, y+3) > (x+4, y1)
so for R(2,2)
(2,2) >(3, 1) > (1, 0)
do the same for the other points
(I am not sure why you have quotations around S and T in the final result. Are you saying that only S and T are transformed?
If so, then just apply the above to S and T, leaving R alone. If this had been my question , I would expect you to translate all 3 points, even have you graph the original, the intermediate and the final to show that congruency is maintained)