\chapter{Polynomial and rational functions}
\section{Quadratic functions}
Answer the questions in your own words.
\begin{enumerate}
\item What is the graph of a quadratic function called?
\item
What is the standard form of a quadratic function?
\item
What information do we obtain about the graph if we know that the coefficient \(a\)
of \(f(x)=ax^2+bx+c\) is negative?
\item Suppose we are given two points on the graph of a quadratic function, and neither of them
is the vertex. Can we find the equation of the function?
\item
Is it possible for a quadratic function not to have a \(y\)-intercept?
\item
And what about \(x\)-intercepts? Is it possible that they do not exist?
\end{enumerate}