\chapter{Polynomial and rational functions}
\section{Quadratic functions}
\begin{enumerate}
\item
What is the general form of a quadratic function?
\item What is the formula to find the vertex of the quadratic function
\(f(x)=ax^2+bx+c\)?
\item Suppose a quadratic function has \(a=3\) and zeros \(x_1=-1\), \(x_2=4\). What is the factored form
of the equation?
\item What is the connection between the way a parabola opens (up or down) and the maximum or minimum
of the quadratic function?
\item If the vertex of a quadratic function is \((h,k)\), must \(k\) by the maximum?
\item Suppose the maximum of a quadratic function \(y=-3x^2+bx+c\) is \(k=-4\). Does the function have \(x\)-intercepts?
\end{enumerate}