Latex (tikz) version of Problem M4

problem_m4.tex

\documentclass{article}

\usepackage[latin1]{inputenc}
\usepackage{tikz}

\pagestyle{empty}

\begin{document}
\begin{tikzpicture}
    \tikzstyle{every node}=[font=\footnotesize]
    \draw[domain=0:2] plot (\x, {-6*(1-\x)*(1-\x)+6});
    \draw[domain=0:6] plot (\x, {-1/3*(3-\x)*(3-\x)+3});
    \draw[domain=0:8] plot (\x, {-(1/8)*(4-\x)*(4-\x)+2});
    \draw (0,0) -- (8,0);
    \draw (1,5.9) -- (1,6.1);
    \draw (1,6.3) circle (0.2) node {1};
    \draw (3,2.9) -- (3,3.1);
    \draw (3,3.3) circle (0.2) node {1};
    \draw (4,1.9) -- (4,2.1);
    \draw (4,2.3) circle (0.2) node {1};
    \node at (1.75,4.75) {\textbf{A}};
    \node at (4,3) {\textbf{B}};
    \node at (6.2,1.75) {\textbf{C}};
    \draw (2.25,0.25) circle (0.2) node {2};
    \draw (6.25,0.25) circle (0.2) node {2};
    \draw (8.25,0.25) circle (0.2) node {2};
\end{tikzpicture}
\end{document}