The problem asks to describe the single transformation that maps shape $P$ onto shape $T$.

Solution:

From the image, shape $P$ and $T$ are oriented similarly, but shape $T$ is below $P$ and located at a different position on the coordinate plane.

Observations:

1. Shape $T$ is an exact copy of shape $P$, but it is flipped (reflected).
2. The reflection appears to be across the x-axis because the relative positioning of the shapes matches a reflection about the x-axis.

Full Description:

The transformation that maps shape $P$ onto shape $T$ is a reflection across the x-axis.

Would you like a detailed breakdown of why this is a reflection or how reflections are determined? Let me know if you have any further questions.

Here are 5 questions to explore further:

1. What are the rules for identifying reflections in coordinate geometry?
2. How can other transformations (e.g., translations or rotations) be differentiated from reflections?
3. Can you describe how the coordinates of points change after a reflection across the x-axis?
4. How would you write a mathematical rule for this transformation?
5. Can this transformation be represented using matrix algebra?

Tip: When identifying transformations, always check for flips, rotations, translations, or dilations, and verify using the coordinates of key points.