Ask a math question about comparing size It is known that the quadratic function f (x) satisfies f (- x + 2) = f (- 2-x). Compare the sizes of F (negative half root sign 3), f (negative third π) and f (- 1)

Ask a math question about comparing size It is known that the quadratic function f (x) satisfies f (- x + 2) = f (- 2-x). Compare the sizes of F (negative half root sign 3), f (negative third π) and f (- 1)

Function f (x) = AX2 + BX + C
Let x = - x + 2, then f (x) = f (x-4)
So the axis of symmetry of the function is - 4. When a is greater than zero, the direction of the parabola is upward, and the interval [- 4,0] is an increasing function, because f (negative two-thirds root sign 3) > (- 1) > (negative three-thirds π), so f (negative two-thirds root sign 3) > F (- 1) > F (negative three-thirds π)
And so on