| Exam Board | OCR |
|---|---|
| Module | AS Pure (AS Pure Mathematics) |
| Year | 2017 |
| Session | Specimen |
| Marks | 5 |
| Topic | Function Transformations |
| Type | Single transformation sketch |
| Difficulty | Easy -1.8 This question tests basic graph transformations (horizontal translation, reflection, vertical stretch, horizontal stretch) which are fundamental AS-level topics requiring only direct recall and application of standard rules. No problem-solving, multi-step reasoning, or conceptual depth is required—students simply apply memorized transformation rules to given points and graphs. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
The diagram below shows the graph of $y = f(x)$.
\includegraphics{figure_1}
\begin{enumerate}[label=(\roman*)]
\item On the diagram in the Printed Answer Booklet draw the graph of $y = f(x + 3)$. [2]
\item Describe fully the transformation which transforms the graph of $y = f(x)$ to the graph of $y = -f(x)$. [1]
\end{enumerate}
The point $(2, 3)$ lies on the graph of $y = g(x)$.
State the coordinates of its image when $y = g(x)$ is transformed to
\begin{enumerate}[label=(\roman*)]
\item $y = 4g(x)$ [1]
\item $y = g(4x)$. [1]
\end{enumerate}
\hfill \mbox{\textit{OCR AS Pure 2017 Q1 [5]}}