Select all the correct answers. g(x) = -(x − 5)2 + 9
Function f is represented by the graph, and function g is represented by the equation. Compare the functions, and choose the statements that are true about the extreme value and axis of symmetry of the functions.

The maximum value of function f is less than the maximum value of function g.
The minimum value of function f is less than the minimum value of function g.
The maximum value of function f is greater than the maximum value of function g.
The axis of symmetry of function f is x = -2, and the axis of symmetry of function g is x = -5.
The axis of symmetry of function f is x = 2, and the axis of symmetry of function g is x = 5.
The axis of symmetry of function f is x = 1, and the axis of symmetry of function g is x = 4.