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I'm looking for a way to create the following graph coordinate in LyX.

enter image description here

Which package should I use and How should I approach this problem? I read some prevoius threads on how to do such things and I came across with tikzpicture. I read the docs but I didn't see any example on how to create similir things. Is it posssbile with tikz?

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    Try \documentclass[tikz,border=3.14mm]{standalone} \begin{document} \begin{tikzpicture} \draw[-stealth] (-0.5,0) -- (5,0) node[right]{$Q_x$}; \draw[-stealth] (0,-0.5) -- (0,5) node[above]{$P_x$}; \draw[dashed] (2.2,3) -- (-0.25,3) node[left]{$P_0$}; \draw (1,4) to[out=-70,in=160] (3,1) node[left=1cm]{$D(\overline{P}_y,\overline{T},I_0)$}; \draw (2,4) to[out=-70,in=155] (3.5,1) node[above right]{$\dots$}; \end{tikzpicture} \end{document} – user121799 Feb 4 at 19:21
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marmot already gave you a code sample in his comment, but since you're using LyX maybe you need to know how to insert it in it.

Open your document and choose Document --> Settings --> LaTeX preamble and add

\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{intersections, positioning}

and click on OK.

Then choose Insert --> TeX code (or click on Ctrl+L) and insert this code where the cursor is:

\begin{tikzpicture}[>=Stealth] 
\draw[->] (-0.5,0) -- (5,0) node[right]{$Q_x$}; 
\draw[->] (0,-0.5) -- (0,5) node[above]{$P_x$}; 
\draw[name path=firstdemand] (.5,4.5) parabola[bend at end] (4,.5) node[above left=7pt and 44pt] {$D(\overline{P}_y,\overline{T},I_0)$};
\draw[name path=demand] (1.5,4.5) parabola[bend at end] (5,1) node[above right=14pt and -34pt] {$D(\overline{P}_y,\overline{T},I_1>I_0)$};
\path[name path=line] (0,3) -- (4,3);
\path [name intersections={of=demand and line,by=mypoint}];
\draw[dashed] (-.3,3) node[left] {$P_0$} -- (mypoint);
\path[name path=lowline] (0,2.5) -- (4,2.5);
\path [name intersections={of=firstdemand and lowline,by=mylowpoint}];
\draw[thick, ->] (mylowpoint) -- ++(.7,0);
\end{tikzpicture}

(my code is a little different from marmot's one).

Then click on View, and you'll get this result:

enter image description here

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