Question

Can somebody help me as soon as possible

Answer 1

• 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)