# drawing smooth parabolic curves in tikz

I am trying to draw the following picture with Tikz. However it doesn't seem possible to get the correct smoothness like in the picture.

Can anyone tell me how to achieve it. What I have tried so far is using parabola function and smooth plot.

\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}

\draw [<->,thick] (0,5) node (yaxis) [above, text width=3.5cm,align=center] {$s_1$}
|- (7,0) node (xaxis) [right] {$s_2$};

\coordinate (A) at (2.5,4.7);
\coordinate (B) at (2.80,2.0);
\coordinate (C) at (3.75,1.50);
\coordinate (D) at (6.7,0.75);

%\draw[thick] plot [smooth] coordinates{(A) (B) (C) (D)};
% \draw (2.5,4.7) parabola bend (2  .8,2) (6.7,0.75);
\draw  (6.7,1.00) parabola bend (3.5,0.95) (2.5,4.7) ;

\node [yshift=0.25cm] at (A) {$T = C$};
\node [xshift=0.65cm] at (D) {$c_1/\psi$};

\draw[dotted] (0,4.5) node[xshift=-8pt] {$n_1$} -- (6.5,4.5);
\draw[dotted] (6.5,4.5) -- (6.5,0) node[yshift=-8pt] {$n_2$};

%\draw[dotted] (0,0.9) node[xshift=-8pt] {$1$} -- (4.5,0.9);
\draw[dotted] (1.5,4.5) -- (1.5,0) node[yshift=-8pt] {$I_1/\psi$};

\node[text width=2.5cm,align=center] at (3,0.75) {Transfer domain \\ $T > C$};
\node[text width=4cm,align=center] at (4.75,3.5) {Computation domain \\ $T < C$};

\end{tikzpicture}
\end{document}

-
Parabolic or hyperbolic ? –  Tarass Jun 8 at 18:31
you are right, its hyperbolic curve. –  Raj Jun 10 at 9:59

\documentclass{article}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}

\draw [<->,thick] (0,5) node (yaxis) [above, text width=3.5cm,align=center] {$s_1$}
|- (7,0) node (xaxis) [right] {$s_2$};

\coordinate (A) at (2.5,4.7);
\coordinate (B) at (2.80,2.0);
\coordinate (C) at (3.75,1.50);
\coordinate (D) at (6.7,0.75);

%\draw[thick] plot [smooth] coordinates{(A) (B) (C) (D)};
% \draw (2.5,4.7) parabola bend (2  .8,2) (6.7,0.75);
\draw (6.7,1.00) .. controls (3,1.7) and (2.4,1.7) .. (2.5,4.7) ;

\node [yshift=0.25cm] at (A) {$T = C$};
\node [xshift=0.65cm] at (D) {$c_1/\psi$};

\draw[dotted] (0,4.5) node[xshift=-8pt] {$n_1$} -- (6.5,4.5);
\draw[dotted] (6.5,4.5) -- (6.5,0) node[yshift=-8pt] {$n_2$};

%\draw[dotted] (0,0.9) node[xshift=-8pt] {$1$} -- (4.5,0.9);
\draw[dotted] (1.5,4.5) -- (1.5,0) node[yshift=-8pt] {$I_1/\psi$};

\node[text width=2.5cm,align=center] at (3,0.75) {Transfer domain \\ $T > C$};
\node[text width=4cm,align=center] at (4.75,3.5) {Computation domain \\ $T < C$};

\end{tikzpicture}
\end{document}


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It could be nice to explain what the controls point do, eg plotting Bézier curves. –  Trefex Jun 8 at 16:33