continuity fourier functions

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Be f:$$(0,2\pi) \to \mathbb{R}$$ definid to $$ f(x) = ax^2+bx+c $$ on what a,b and c are real constants.

Determine the value (s) of the parameters a,b and c is that there is a extension $$2\pi - periodic $$ de f which is a continuous function.

I needed help finding those values ​​so I could do the Fourier series later. Can you help me?