7 The sketch shows part of the curve with equation $y = \mathrm { f } ( x )$.\\
\includegraphics[max width=\textwidth, alt={}, center]{d3c66c34-b09c-4223-8383-cf0a68419bf9-5_632_1029_712_541}
\begin{enumerate}[label=(\alph*)]
\item On Figure 2 on page 6, sketch the curve with equation $y = | \mathrm { f } ( x ) |$.
\item On Figure 3 on page 6, sketch the curve with equation $y = \mathrm { f } ( | x | )$.
\item Describe a sequence of two geometrical transformations that maps the graph of $y = \mathrm { f } ( x )$ onto the graph of $y = \frac { 1 } { 2 } \mathrm { f } ( x + 1 )$.
\item The maximum point of the curve with equation $y = \mathrm { f } ( x )$ has coordinates $( - 1,10 )$. Find the coordinates of the maximum point of the curve with equation $y = \frac { 1 } { 2 } \mathrm { f } ( x + 1 )$.\\
(2 marks)\\
(a)

\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Figure 2}
  \includegraphics[alt={},max width=\textwidth]{d3c66c34-b09c-4223-8383-cf0a68419bf9-6_785_1022_358_548}
\end{center}
\end{figure}

(b)

\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Figure 3}
  \includegraphics[alt={},max width=\textwidth]{d3c66c34-b09c-4223-8383-cf0a68419bf9-6_776_1022_1395_548}
\end{center}
\end{figure}
\end{enumerate}

\hfill \mbox{\textit{AQA C3 2012 Q7 [11]}}