Answer:
x+(-2), y+(-3)
Step-by-step explanation:
Trapezoid ABCD has vertices A(-5,2), B(-3,4), C(-2,4) and D(-1,2).
The reflection across the y-axis has the rule
(x,y)→(-x,y),
so
- A(-5,2)→A'(5,2)
- B(-3,4)→B'(3,4)
- C(-2,4)→C'(2,4)
- D(-1,2)→D'(1,2)
The translation that maps points A', B', C' and D' to E, H, G, F is
- A'(5,2)→E(3,-1)
- B'(3,4)→H(1,1)
- C'(2,4)→G(0,1)
- D'(1,2)→F(-1,-1)
and has a rule
(x,y)→(x-2,y-3)
