https://file.aiquickdraw.com/mathbot/file/17266245321224ym5cvxv.jpg

The problem asks to "Graph the image of \( D(6, 6) \) after a reflection over the x-axis."

When reflecting a point over the x-axis, we change the sign of the y-coordinate while keeping the x-coordinate the same. 

For the point \( D(6, 6) \):
- The x-coordinate remains 6.
- The y-coordinate changes from 6 to \(-6\).

Thus, the new point after reflection will be \( D'(6, -6) \).

You can now plot this new point at \( (6, -6) \) on the graph.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would you reflect a point over the y-axis?
2. What happens to both coordinates when reflecting over the origin?
3. If the original point was at \( (-6, -6) \), what would its reflection over the x-axis be?
4. How do you reflect a point across a line that is not an axis, such as \( y = x \)?
5. How does reflecting over both the x-axis and y-axis affect a point's coordinates?

**Tip:** Always pay attention to which axis you are reflecting over, as this determines whether the x-coordinate or y-coordinate changes.

Graph the image of D(6, 6) after a reflection over the x-axis.

Learn how to reflect the point D(6, 6) over the x-axis. This problem covers key geometry concepts like reflections and coordinate transformations, perfect for Grade 8 students. Understand how the reflection changes the y-coordinate while keeping the x-coordinate constant.

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