Ononot — Let f: \mathbb{R} \to \mathbb{R} be defined by f(x) = ax^2 +

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Let $f: \mathbb{R} \to \mathbb{R}$ be defined by $f(x) = ax^2 + bx + c$ . If $f(x+1) - f(x) = 6x + 2$ , find the value of $a$ .