I asked a question yesterday, Filling this parabola with pattern to which was answered by the community and I have one more question to ask - how do I construct a small coloured/shaded strip in this parabola? Something that resembles:

use \clip,as follows

\documentclass[tikz, border=3.141592]{standalone}
\usetikzlibrary{patterns.meta}

\begin{document}
\begin{tikzpicture}[
dot/.style = {circle, fill, node contents={},
inner sep=1.6pt, outer sep=0pt}
]
% axis
\draw[->] (-3,0.0) -- (3,0) node [below left] {$x$};
\draw[->] (0,-0.5) -- (0,6) node [below left] {$y$};
% parabola
\draw  [thick,
pattern={Lines[angle=45,distance={3pt},line width=0.2pt]},
pattern color=gray]
(-2,5) parabola bend (0,0) (2,5);
\draw[densely dotted, semithick]
(-2,5) node[dot]-- (2,5) node[dot];
% coordinate origin
\path (0,0) node[below left] {(0,0)};

\clip (-2,5) parabola bend (0,0) (2,5);
\draw  [red,
pattern={Lines[angle=60,distance={1.5pt},line width=0.2pt]},
pattern color=red] (0.5,0) rectangle (1.5,5);
\end{tikzpicture}
\end{document}