2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{624e9e2f-b6b8-47ce-accc-31dcd5f0554e-04_903_1148_123_399}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of the curve with equation \(y = \mathrm { f } ( x )\), where \(x \in \mathbb { R }\) and \(\mathrm { f } ( x )\) is a polynomial.
The curve passes through the origin and touches the \(x\)-axis at the point \(( 3,0 )\)
There is a maximum turning point at \(( 1,2 )\) and a minimum turning point at \(( 3,0 )\)
On separate diagrams, sketch the curve with equation
- \(y = 3 f ( 2 x )\)
- \(y = \mathrm { f } ( - x ) - 1\)
On each sketch, show clearly the coordinates of
- the point where the curve crosses the \(y\)-axis
- any maximum or minimum turning points