6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{65d61b2c-2e47-402e-b08f-2d46bb00c188-08_568_942_269_498}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the curve with equation \(y = \mathrm { f } ( x )\). The curve has a maximum point \(A\) at \(( - 2,3 )\) and a minimum point \(B\) at \(( 3 , - 5 )\).
On separate diagrams sketch the curve with equation
- \(y = \mathrm { f } ( x + 3 )\)
- \(y = 2 \mathrm { f } ( x )\)
On each diagram show clearly the coordinates of the maximum and minimum points.
The graph of \(y = \mathrm { f } ( x ) + a\) has a minimum at (3, 0), where \(a\) is a constant. - Write down the value of \(a\).