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

Algebra Level 2

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

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