The coordinates of a point and its reflection across the x-axis have the same x-coordinate but the opposite y-coordinate.
Given that the coordinates of the reflection point \(c\) across the x-axis are \((2, -2)\), we can determine the coordinates of point \(c\) by reversing the sign of the y-coordinate.
The reflection point across the x-axis has coordinates \((x, -y)\):
- From the given reflection point \((2, -2)\), the x-coordinate remains the same: \(x = 2\).
- The y-coordinate of point \(c\) is the opposite of \(-2\), which is \(y = 2\).
Therefore, the coordinates of point \(c\) are \((2, 2)\).