The image shows a question asking for the transformation(s) that map Figure A to Figure A'. Both figures are placed on a coordinate plane, with Figure A centered at (-5, 0) and Figure A' centered at (5, 0).

To determine the correct transformation(s), let's analyze the changes:

1. Reflection Analysis:

   • The figures are horizontally aligned, meaning Figure A' is on the right side of the y-axis and Figure A is on the left. This indicates a reflection across the y-axis (Horizontal reflection). Therefore, option E (Horizontal reflection) is correct.

2. Rotation and Other Options:

   • The figures have not been rotated, as the orientation of the sides and corners of both figures remains the same. This rules out 90° CW/CCW rotations and 180° rotation.
   • No translation has occurred, since a reflection describes the movement across an axis.

Thus, the correct transformation is E) Horizontal (y-axis) reflection.

Would you like further clarification or details on any part of this? Here are some related questions for practice:

1. What are the key differences between reflection and rotation?
2. How does a reflection across the x-axis affect a figure?
3. What happens when you perform a 180° rotation on a point?
4. Can a translation ever map a figure across an axis?
5. How do you determine whether a transformation is a reflection or a rotation?

Tip: Reflections across the y-axis always reverse the x-coordinates of all points, keeping the y-coordinates the same.