Answer:
 R¹(-7, -3) ,  S¹(-2, -1),  T¹(-5, 4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
 From the graph, the points are R(-4,5), S(1,3),T(-2,-2)
First, the points are reflected over the x-axis then  transform in to
(x,y)→(x,-y)
R(-4,5)→R¹(-4,-5)
S(1,3)→S¹(1,-3)
T(-2,-2)→T¹(-2,2) 
<u><em>Step(ii):-</em></u>
Next, The points are shifted to 3 units left then the transform
(x,y)→ (x -3 ,y)
R¹(-4,-5)→ R¹(-4-3, -5) → R¹(-7, -5) 
S¹(1,-3)   →   S¹(1-3, -3) →  S¹(-2, -3)
T¹(-2,2)  →   T¹(-2-3, 2)→ T¹(-5, 2)
<u><em>Step(iii):-</em></u>
Now again the points are shifted to '2' units up then transform to
(x,y) )→ (x  ,y+2)
 R¹(-7, -5+2) →  R¹(-7, -3) 
  S¹(-2, -3+2) →  S¹(-2, -1)
  T¹(-5, 2+2)  →  T¹(-5, 4)