Document 6 - Basics in TikZ (12)

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}

\title{Document 6 - Basics in Tikz (12)}
\author{Thomas Boufikos}
\date{October 2021}

\begin{document}

    \maketitle
    \section{Making graphs with TikZ} \\ \\ \\
    \begin{center}
        \begin{tikzpicture}

            \draw[lightgray, ultra thin] (-4, -1) grid (4, 6);
            \draw[<->] (-4.5, 0) -- (4.5, 0) node[right] {$x$};
            \draw[<->] (0, -1.5) -- (0, 6.5) node[above] {$y$};
            \begin{scope}
                \clip (-4, -1) rectangle (4, 6);
                \draw[blue, smooth, thick, variable=\x, samples=50, domain=-4:4] plot({\x}, {(\x)^2});
            \end{scope}
            \draw[red, fill=red] (2,4) circle [radius=1mm] node [right] {(2,4)};
            \draw[dashed, thin, red] (0,4) node[left] {(0,4)} -| (2,0) node[below] {(2,0)};
            \draw[blue] (-3, 2) node[draw] {$f(x)=x^2$};

        \end{tikzpicture}
    \end{center}

\end{document}