4.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{a15db39c-d54b-4cf4-8da7-01f3db223415-05_735_1171_223_390}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}

Figure 1 shows a sketch of the curve with equation $y = \mathrm { f } ( x )$.\\
The curve passes through the origin $O$ and the points $A ( 5,4 )$ and $B ( - 5 , - 4 )$.\\
In separate diagrams, sketch the graph with equation
\begin{enumerate}[label=(\alph*)]
\item $y = | f ( x ) |$,
\item $y = \mathrm { f } ( | x | )$,
\item $y = 2 f ( x + 1 )$.

On each sketch, show the coordinates of the points corresponding to $A$ and $B$.
\end{enumerate}

\hfill \mbox{\textit{Edexcel C3 2008 Q4 [10]}}