It is known that the quadratic function f [x] satisfies f [2-x] = f [2 + x], and the intercept of the image on the y-axis is 0, and the minimum value is negative one

It is known that the quadratic function f [x] satisfies f [2-x] = f [2 + x], and the intercept of the image on the y-axis is 0, and the minimum value is negative one

Let ax ^ 2 + BX + C = 0
When the intercept of the image on the Y axis is 0, that is, when x = 0, y = 0, C = 0
F [2-x] = f [2 + x], we can see that the image is symmetrical about x = 2, that is, the axis of symmetry is x = 2,
-The function equation is ax ^ 2-4ax = 0
When x = 2, y = - 1, a = 1 / 4, B = - 1