tikzdraw/math/agnesi_witch.tex

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\documentclass{standalone}
%
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{width=10cm,compat=1.9}
\usepackage{xcolor}
\definecolor{space}{HTML}{0A2543}
%
\title{The Witch of Agnesi}
\begin{document}
\begin{tikzpicture}[domain=-15:15]
\begin{scope}[scale=2]
\begin{axis}
\foreach \a in {1,2,4,8}
\addplot [domain=-15:15, samples=100, color=space, thick]{8 * \a^2 / (x^2 + 4 * \a)};
\end{axis}
\end{scope}
\end{tikzpicture}
\end{document}