To rotate a point \( (x, y) \) 180 degrees counterclockwise around the origin, the new coordinates become \( (-x, -y) \).
Given point A(2, 6):
- Apply the rotation:
- New x-coordinate: \( -2 \)
- New y-coordinate: \( -6 \)
Thus, the new coordinates of point A after the rotation are:
\[ (-2, -6) \]
So the answer is \((-2, -6)\).