| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Polynomial with line intersection |
| Difficulty | Moderate -0.8 This is a straightforward C1 question testing basic curve sketching and intersection finding. Part (a) requires sketching a simple parabola and line, part (b) is direct substitution to find intercepts, and part (c) involves solving a routine quadratic equation by substituting y = -3x into y = x² - 4. All techniques are standard with no problem-solving insight required, making it easier than average but not trivial due to the multi-part nature and 9 total marks. |
| Spec | 1.02n Sketch curves: simple equations including polynomials1.02q Use intersection points: of graphs to solve equations |
The curve $C$ has equation $y = x^2 - 4$ and the straight line $l$ has equation $y + 3x = 0$.
\begin{enumerate}[label=(\alph*)]
\item In the space below, sketch $C$ and $l$ on the same axes. [3]
\item Write down the coordinates of the points at which $C$ meets the coordinate axes. [2]
\item Using algebra, find the coordinates of the points at which $l$ intersects $C$. [4]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q42 [9]}}