Final answer:
To reflect a point across the x-axis, change the sign of the y-coordinate. To translate the reflected point down, subtract the desired units from the y-coordinate.
Step-by-step explanation:
To reflect a point across the x-axis, we change the sign of the y-coordinate. In this case, if the original point is (x, y), the reflected point will be (x, -y).
Now, to translate the reflected point down 6 units, we subtract 6 from the y-coordinate of the reflected point. So, the final point will be (x, -y - 6).
For example, if the original point is (2, 4), reflecting across the x-axis gives us (2, -4). Translating it down 6 units, we get (2, -4 - 6) = (2, -10).