The question asks to select the transformation(s) that map Figure A to Figure A'. Based on the provided image, it appears that Figure A has been reflected over the y-axis to become Figure A'.

The correct answer is:

E) Horizontal (y-axis) reflection.

This transformation reflects the figure across the y-axis, moving each point to an equal distance on the opposite side of the y-axis, hence mapping Figure A to Figure A'.

Would you like more details or have any questions?

Here are some related questions for further exploration:

1. What is the difference between a reflection and a rotation in geometry?
2. How do you perform a vertical (x-axis) reflection on a coordinate plane?
3. What effect does a 180° rotation have on a figure's coordinates?
4. How can you identify if a transformation is a translation?
5. What are some real-life examples of reflections in everyday objects?

Tip: When reflecting a shape over an axis, each point on the shape moves perpendicularly to the axis by the same distance but on the opposite side.