f(9x)=f(9+x)f(9-x)=f(9+x)

Algebra Level 2

Function f(x)=x2+ax+bf(x)=x^2+ax+b satisfies f(9x)=f(9+x)f(9-x)=f(9+x) for all real numbers x.x. If the graph y=f(x)y=f(x) passes through P=(0,5),P=(0, 5), what is the value of ba?b-a?

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