6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2217be5e-8edd-413f-9c97-212e585ff58d-12_440_679_269_630}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the curve \(C\) with equation \(y = \mathrm { f } ( x )\)
The curve \(C\) passes through the origin and through \(( 6,0 )\)
The curve \(C\) has a minimum at the point \(( 3 , - 1 )\)
On separate diagrams, sketch the curve with equation
- \(y = \mathrm { f } ( 2 x )\)
- \(y = \mathrm { f } ( x + p )\), where \(p\) is a constant and \(0 < p < 3\)
On each diagram show the coordinates of any points where the curve intersects the \(x\)-axis and of any minimum or maximum points.
a) \(( 6,0 ) \rightarrow ( 3,0 )\)
$$( 3 , - 1 ) - 1 > ( 1.5 , - 1 )$$
\includegraphics[max width=\textwidth, alt={}]{2217be5e-8edd-413f-9c97-212e585ff58d-12_616_772_1624_781}
$$( 1.5 , - 1 )$$
\includegraphics[max width=\textwidth, alt={}, center]{2217be5e-8edd-413f-9c97-212e585ff58d-13_2261_50_312_39}
\includegraphics[max width=\textwidth, alt={}, center]{2217be5e-8edd-413f-9c97-212e585ff58d-13_2637_1835_118_116}