Answer:
- A'(-2, 0)
- B'(0, 1)
- C'(1, -1)
Explanation:
You want the coordinates of triangle ABC after dilation by a factor of 1/2.
Dilation
When the center of dilation is the origin, each of the coordinates is multiplied by the dilation factor:
 (x, y) ⇒ (x/2, y/2)
 A(-4, 0) ⇒ A'(-2, 0)
 B(0, 2) ⇒ B'(0, 1)
 C(2, -2) ⇒ C'(1, -1)