It is known that the quadratic function FX satisfies the condition f (1 + x) = f (1-x); the maximum value of FX is 4, and the sum of squares of two of FX is 10

It is known that the quadratic function FX satisfies the condition f (1 + x) = f (1-x); the maximum value of FX is 4, and the sum of squares of two of FX is 10

It can be seen from F (1 + x) = f (1-x)
F (x) on x = 1 symmetry
The maximum value of F (x) is 4
Then let f (x) = a (x-1) ^ 2 + 4, a

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