The problem asks for a description of the single transformation that maps shape A onto shape B.

Upon examining the shapes, we can observe the following:

• Shape A is in the lower-right quadrant (Quadrant IV) while Shape B is in the upper-left quadrant (Quadrant II).
• The orientation of both shapes is the same, meaning that there has been no rotation or reflection that changes the shape's direction.
• A reflection across the y-axis would place shape A in the position of shape B, as all points are mirrored with respect to the vertical line (x = 0).

Thus, the single transformation that maps shape A onto shape B is a reflection in the y-axis.

Would you like more details or further explanation on any step? Here are five related questions to explore:

1. How would the transformation change if shape A were reflected across the x-axis instead?
2. Can you describe how to perform a rotation that could map shape A onto shape B?
3. How does the transformation affect the coordinates of specific points on shape A?
4. What would happen to shape A if we applied a translation instead of a reflection?
5. How can we determine the line of reflection mathematically in more complex transformations?

Tip: When analyzing transformations, always compare the positions of corresponding points and check if they have undergone any specific change, such as a reflection, rotation, or translation.