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.