Answer:
R¹(-7, -3) , S¹(-2, -1), T¹(-5, 4)
Step-by-step explanation:
Step(i):-
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)
Step(ii):-
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)
Step(iii):-
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)
