| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2006 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Sketch translations of standard functions |
| Difficulty | Easy -1.8 This is a very basic curve sketching question requiring only knowledge of horizontal and vertical translations of y=x². Students need to identify the vertex and axis intercepts through simple substitution—no calculus, problem-solving, or novel insight required. This is foundational C1 material testing routine recall and application of transformations. |
| Spec | 1.02n Sketch curves: simple equations including polynomials1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer/Working | Marks | Guidance |
| (a) U shape touching \(x\)-axis | B1 | Can score even if other intersections with \(x\)-axis are given |
| \((-3, 0)\) marked | B1 | The \(-3\) and \(9\) can appear on the sketch as shown |
| \((0, 9)\) marked | B1 | |
| (b) Translated parallel to \(y\)-axis up | M1 | Follow their curve in (a) up only. If not obvious (e.g. cuts \(y\)-axis in (a) but doesn't in (b)) then M0 |
| \((0, 9+k)\) marked | B1ft | Follow through their \(9\) |
## Question 3:
| Answer/Working | Marks | Guidance |
|---|---|---|
| **(a)** U shape touching $x$-axis | B1 | Can score even if other intersections with $x$-axis are given |
| $(-3, 0)$ marked | B1 | The $-3$ and $9$ can appear on the sketch as shown |
| $(0, 9)$ marked | B1 | |
| **(b)** Translated parallel to $y$-axis up | M1 | Follow their curve in (a) up only. If not obvious (e.g. cuts $y$-axis in (a) but doesn't in (b)) then M0 |
| $(0, 9+k)$ marked | B1ft | Follow through their $9$ |
---3. On separate diagrams, sketch the graphs of
\begin{enumerate}[label=(\alph*)]
\item $y = ( x + 3 ) ^ { 2 }$,
\item $y = ( x + 3 ) ^ { 2 } + k$, where $k$ is a positive constant.
Show on each sketch the coordinates of each point at which the graph meets the axes.
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 2006 Q3 [5]}}