Only top portion of half my hyperbola is coming in correctly. The other half is doing something strange:

\documentclass{article}
\usepackage{tikz, pgf}
\begin{document}
\begin{center}
\begin{tikzpicture}
\begin{scope}
\clip (0,-3) rectangle (4,3);
\draw [samples = 50, domain = -0.99:0.99,
rotate around = {0:(0,0)}, xshift = 0cm, yshift = 0cm]
plot ({0.69*(1+\x^2)/(1-\x^2)}, {0.72*2*\x/(1-\x^2)});
\end{scope}
\end{tikzpicture}
\end{center}
\end{document}


\begin{tikzpicture}\begin{axis}\addplot [samples = 50, domain = -0.99:0.99] ({0.69*(1+\x^2)/(1-\x^2)}, {0.72*2*\x/(1-\x^2)});\end{axis}\end{tikzpicture}– percusse Apr 15 '13 at 23:50