Final answer:
The reflection of a point across the x-axis involves changing the sign of the y-coordinate. For example, if (3, -7) is reflected, it becomes (3, 7).
Step-by-step explanation:
The student is asking about the coordinates of a point after it has been reflected across the x-axis. To find the reflection of a point across the x-axis, you change the sign of the y-coordinate while keeping the x-coordinate the same.
Given the original point (a, b), the reflected point across the x-axis would be (a, -b).
Let's apply this rule to the provided options:
- a. (3, -7) would reflect to (3, 7)
- b. (3, 7) would reflect to (3, -7)
- c. (-3, 7) would reflect to (-3, -7)
- d. (-3, -7) would reflect to (-3, 7)
If the original coordinates are not provided, we need to look at the options to determine the correct one where only the y-coordinate has changed its sign, which indicates a reflection across the x-axis.