Final answer:
The reflection of the point (2,6) over the x-axis is (2,-6), achieved by inverting the y-coordinate while keeping the x-coordinate unchanged.
Step-by-step explanation:
The reflection of a point (2,6) over the x-axis can be found by negating the y-coordinate of the point while keeping the x-coordinate the same.
Therefore, the reflection of the point (2,6) over the x-axis would be (2,-6).
To reflect a point over the x-axis, we follow these steps:
Keep the x-coordinate the same (x = 2).
Invert the sign of the y-coordinate (y = 6 becomes y = -6).
Thus, the reflected point is (2,-6), which lies at the same horizontal position as the original point but on the opposite side of the x-axis.