Giải thích các bước giải:
\(\begin{array}{l}
f\left( 0 \right) = 2014 \to c = 2014\\
f\left( 1 \right) = 2015 \to a + b + c = 2015 \to a + b = 1\\
f\left( { - 1} \right) = 2017 \to a - b + c = 2017 \to a - b = 3\\
\to \left\{ \begin{array}{l}
a + b = 1\\
a - b = 3
\end{array} \right. \to \left\{ \begin{array}{l}
a = 2\\
b = - 1
\end{array} \right.\\
\to f\left( { - 2} \right) = 2.{\left( { - 2} \right)^2} - 2.\left( { - 1} \right) + 2014 = 2024
\end{array}\)
