Answer:
- A'(4, 8)
- B'(8, 4)
- C'(12, 12)
Explanation:
Reflection across the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection across the y-axis
Dilation by a factor of 2 about the origin multiplies each coordinate by 2.
(x, y) ⇒ (2x, 2y)
Then the composition of these transformations is ...
(x, y) ⇒ (-2x, 2y)
A(-2, 4) ⇒ A'(4, 8)
B(-4, 2) ⇒ B'(8, 4)
C(-6, 6) ⇒ C'(12, 12)