How can draw curve on y axis with help of latex?

In my opinion you need to describe your disered curve mathematically.

Since I do not know, which function that exactly is, I thought about something like -sin(x) along the y-axis, which has an ampiltude of inv(-x² + 6) = +/- sqrt(6-x); with other words:

% inv(-x² + 6) = +/- sqrt(6-x) ---> "amplitude function" % max(-x² + 6) = 6 \tikzset{trig format=rad} \draw[domain=0:6, smooth, red!55, line width=1mm, ] plot ({sqrt(6-\x)*(-sin(\x))},{\x}); 

This gives you a workaround for which you can adjust the finer details of your curve yourself.

And: as already mentioned in the comments, you can work domain-wise to set different line styles (dashed, dotted,...)

\documentclass[tikz, border=1cm]{standalone} \usetikzlibrary{arrows.meta, ext.topaths.arcthrough, decorations.markings} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usepackage{amsmath} \usepackage{tikz} \usepackage{tikz-3dplot} \begin{document} \begin{tikzpicture}[xscale=2.2, yscale=1.2] % Increase x-axis and decrease y-axis scales % Define the function (centered on the y-axis) \def\func{-(\x)^2 +4} % Parabola opening downwards, vertex at (0, 6) % Define the bounds for the x-values \def\lowerbound{-2.5} \def\upperbound{2.5} % Draw the axes \draw[->] (-3,0) -- (3,0) node[right] {$x$}; \draw[->] (0,-1) -- (0,7) node[above] {$y$}; % Add ticks on the x-axis \foreach \x in {-2,-1,0,1,2,3} { \draw (\x,0.15) -- (\x,-0.15); % tick marks } % Add ticks on the y-axis \foreach \y in {-1,0,1,2,3,4,5} { \draw (0.15,\y) -- (-0.15,\y); % tick marks } % Draw the function (parabola centered on the y-axis) \draw[domain=\lowerbound:\upperbound,smooth,variable=\x,line width=0.5mm] plot ({\x},{-(\x)^2 + 6}); % inv(-x² + 6) = +/- sqrt(6-x) ---> "amplitude function" % max(-x² + 6) = 6 \tikzset{trig format=rad} \draw[domain=0:6, smooth, red!55, line width=1mm, ] plot ({sqrt(6-\x)*(-sin(\x))},{\x}); \draw[domain=0:2, smooth, very thick, ] plot ({sqrt(6-\x)*(-sin(\x))},{\x}); \draw[domain=2:4, smooth, thick, dashed, ] plot ({sqrt(6-\x)*(-sin(\x))},{\x}); \draw[domain=4:6, smooth, thick, dotted, ] plot ({sqrt(6-\x)*(-sin(\x))},{\x}); \end{tikzpicture} \end{document}