In this problem, we need to determine a sequence of transformations that would map Figure P onto Figure Q.

Upon examining the graph, here is a breakdown of the process:

1. Translation:

To align Figure P with Figure Q, we can start by translating Figure P downward. This translation should move the shape vertically to match the position of Figure Q. If we count the vertical distance between a corresponding point on both figures, it appears that Figure P must move down by 10 units (not up as originally mentioned).

2. Rotation:

Once translated, the two figures still do not perfectly align. By observing the orientation, we can see that rotating Figure P by 180° counterclockwise about the origin will make the shapes match.

Correct Transformations:

• Translation: 10 units down.
• Rotation: 180° counterclockwise about the origin.

Final Answer:

The correct sequence of transformations is:

1. A translation down 10 units.
2. A rotation of 180° counterclockwise about the origin.

Do you need further clarification or details?

Here are 5 related questions:

1. How do you determine the correct direction for translation in a transformation?
2. What is the difference between clockwise and counterclockwise rotation?
3. How can you verify if a rotation was performed correctly?
4. What other types of transformations could be applied to map two figures?
5. Can you achieve the same result by applying transformations in a different order?

Tip: When rotating a figure 180° about the origin, the coordinates of each point become their opposites (i.e., $(x, y)$ becomes $(-x, -y)$).