\begin{tikzpicture}
\draw (0,0) circle (1in);
\draw[->,color=black] (-2.52,0) -- (2.24,0);
\foreach \x in {-2,2}
\draw[shift={(\x,0)},color=black] (0pt,2pt) -- (0pt,-2pt) node[below] {\footnotesize $\x$};
\draw[->,color=black] (0,-1.02) -- (0,3.12);
\foreach \y in {,2}
\draw[shift={(0,\y)},color=black] (2pt,0pt) -- (-2pt,0pt) node[left] {\footnotesize $\y$};
\clip(-2.52,-1.02) rectangle (2.24,3.12);
\draw [samples=50] plot (\x,{(\x)^2});
\end{tikzpicture}