| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Find stationary points of standard polynomial |
| Difficulty | Moderate -0.8 This is a straightforward C2 question requiring routine techniques: factorising or using the quadratic formula for axis intercepts, differentiating a simple polynomial to find the stationary point, and sketching a parabola. All steps are standard textbook exercises with no problem-solving insight required, making it easier than average. |
| Spec | 1.02d Quadratic functions: graphs and discriminant conditions1.02n Sketch curves: simple equations including polynomials1.07n Stationary points: find maxima, minima using derivatives |
3. Given that $\mathrm { f } ( x ) = 15 - 7 x - 2 x ^ { 2 }$,
\begin{enumerate}[label=(\alph*)]
\item find the coordinates of all points at which the graph of $y = \mathrm { f } ( x )$ crosses the coordinate axes.
\item Sketch the graph of $y = \mathrm { f } ( x )$.
\item Calculate the coordinates of the stationary point of $\mathrm { f } ( x )$.\\[0pt]
[P1 June 2002 Question 3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [8]}}