Solution: According to the meaning of the question, substitute A (2 2,0 0) B (0 0,6) into the function y=- 1/2* respectively.

The square of x +bx+c gives b = 4 and c =-6.

So the analytic formula of this quadratic function is: y =- 1/2.

*

The square of x +4x-6.

Through the symmetry axis formula

x=-b/2a

The symmetry axis of this function is: x=4.

The coordinate of point C is (4.0).

(omitted) s △ ABC = 1/2 * 2 * 6 = 6.