The quadratic function is symmetric across the vertical line x = 9.
The correct answer to the given question is option (2).
The quadratic function is symmetric across the vertical line x = 9. To determine the symmetry of a function, we compare the points on one side of the line with the corresponding points on the other side.
In this case, if we consider the points (1, 5) and (4, 14), we can observe that when we subtract the x-coordinate from 9, we get the same result for both points.
For example, 9 - 1 = 8 and 9 - 4 = 5. This indicates that the function has symmetry about the vertical line x = 9.