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I want to draw the following graph, especially the contour curve what is black line on the surface of the paraboloid

enter image description here

my MWE is as follows

\begin{tikzpicture}
  \begin{axis}[xmin=0, xmax=3, ymin=0, ymax=2, zmin=0, zmax=10, axis lines=center, view={135}{15},
              xlabel=$x$, ylabel=$y$, zlabel=$z$, xtick=\empty, ytick=\empty, ztick=\empty]
    \addplot3 [surf, draw=none, opacity=0.5, fill opacity=0.3, restrict z to domain=0:6, data cs=polar, domain=0:360, y domain=0:3] (x, y, 2*y^2);
  \end{axis}
\end{tikzpicture}

and I want to hide the mesh as well.

Many thanks

Ben
  • 105
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0 Answers0