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Consider the quadratic function f(x)=ax^...

Consider the quadratic function `f(x)=ax^(2)+bx+c`; a,b,c in R, `a!=0` and satisfying the following conditions
(i) `f(x-4)=f(2-x) AA x in R` and `f(x)>=x AA x in R`
(ii) `f(x)<=((x+1)/(2))^(2) AA x in (0,2)`
(iii) Minimum value of `f(x)` is zero
One of the root of the equation f(x)=0 is `alpha` then `2alpha` is equal to

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