To determine which sequence of transformations takes figure $P$ to figure $Q$, let's analyze the transformations step-by-step.

Step-by-Step Analysis:

1. Reflection Analysis:

   • Observe that $Q$ is flipped compared to $P$, meaning it involves a reflection.
   • A reflection over the $y$-axis would place the shape of $P$ on the opposite side of the $y$-axis, but this doesn't align with $Q$.
   • A reflection over the $x$-axis makes sense because $Q$ is an upside-down version of $P$.

2. Translation Analysis:

   • After reflecting $P$ over the $x$-axis, it would need to move horizontally to align with $Q$.
   • By counting the units, $P$ shifts 7 units to the right.

Correct Answer:

The correct sequence is: B: Reflection over the $x$-axis and translation 7 units right.

Would you like further details on transformations or their graphical explanations? Here are some questions to expand your understanding:

1. What are the key differences between reflections over the $x$-axis and $y$-axis?
2. How does rotation differ from reflection in transformations?
3. Can you describe a scenario where multiple transformations yield the same final figure?
4. What are the general rules for translations along the $x$-axis or $y$-axis?
5. How would you determine the transformation sequence if no options were given?

Tip: When analyzing transformations, always consider each step's order and its impact on the figure's orientation and position.