| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Factorise then sketch |
| Difficulty | Moderate -0.8 This is a straightforward C1 question requiring factorization or quadratic formula to find x-intercepts, substitution to find y-intercept, and sketching a simple parabola. All techniques are routine with no problem-solving insight needed, making it easier than average but not trivial since it requires multiple standard steps. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown1.02n Sketch curves: simple equations including polynomials |
Given that $f(x) = 15 - 7x - 2x^2$,
\begin{enumerate}[label=(\alph*)]
\item find the coordinates of all points at which the graph of $y = f(x)$ crosses the coordinate axes. [3]
\item Sketch the graph of $y = f(x)$. [2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q14 [5]}}