Final answer:
The question involves performing a geometry reflection translation on given points by subtracting 4 from the x-coordinates and adding 2 to the y-coordinates of the points A, B, and C.
Step-by-step explanation:
The question asks how to perform a geometry reflection translation on points A(1, -3), B(3, 1), and C(4, -4). The translation vector given is (x, y) = (x – 4, y + 2). To perform the translation, we subtract 4 from the x-coordinate and add 2 to the y-coordinate of each point.
Translating point A yields (1 - 4, -3 + 2) = (-3, -1).
Translating point B yields (3 - 4, 1 + 2) = (-1, 3).
Translating point C yields (4 - 4, -4 + 2) = (0, -2).
The new coordinates after the translation will be A'(-3, -1), B'(-1, 3), and C'(0, -2).