Answer:
(x + 2, y - 1)
Option C is correct
Explanation:
Identify the verices of △ACB
A(0, 0)
B(-6, 3)
C(-3, 0)
Identify the vertices △DEF
D(2, -1)
E(0, -2)
F(1, -1)
△ACB was dilated by a scale factor of 1/3
Multiply the vertices of △ACB by 1/3 to form △A'C'B'
The new vertices become:
A'(0, 0)
B'(-2, 1)
C'(-1, 0)
Reflect the △A'C'B' across the x-axis
The new vertices become:
A''(0, 0)
B''(-2, -1)
C''(-1, 0)
To form △DEF from △A''C''B'', the translation (x + 2, y - 1) is applied
