CAIE P1 2023 June — Question 3 4 marks

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2023
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFunction Transformations
TypeGraph to graph transformation description
DifficultyModerate -0.8 This is a straightforward graph transformation question requiring students to identify two basic transformations (likely a stretch and a translation) by comparing key features of the two graphs. It tests standard recall and application of transformation rules with minimal problem-solving, making it easier than average for A-level.
Spec1.02w Graph transformations: simple transformations of f(x)

3 \includegraphics[max width=\textwidth, alt={}, center]{77f27b11-b931-481f-b4ef-5e549eff8086-04_1150_1164_269_484} The diagram shows graphs with equations \(y = \mathrm { f } ( x )\) and \(y = \mathrm { g } ( x )\).
Describe fully a sequence of two transformations which transforms the graph of \(y = \mathrm { f } ( x )\) to \(y = \mathrm { g } ( x )\).

Question 3:
AnswerMarks Guidance
AnswerMarks Guidance
{Stretch} {factor 2} {in \(y\)-direction}B2, 1, 0 B2 for fully correct, B1 with two elements correct. { } indicates different elements.
{Translation} \(\begin{pmatrix} \{-6\} \\ \{0\} \end{pmatrix}\)B2, 1, 0 B2 for fully correct, B1 with two elements correct. { } indicates different elements.
4Transformations may be in either order.
## Question 3:

| Answer | Marks | Guidance |
|--------|-------|----------|
| {Stretch} {factor 2} {in $y$-direction} | **B2, 1, 0** | **B2** for fully correct, **B1** with two elements correct. { } indicates different elements. |
| {Translation} $\begin{pmatrix} \{-6\} \\ \{0\} \end{pmatrix}$ | **B2, 1, 0** | **B2** for fully correct, **B1** with two elements correct. { } indicates different elements. |
| | **4** | Transformations may be in either order. |

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3\\
\includegraphics[max width=\textwidth, alt={}, center]{77f27b11-b931-481f-b4ef-5e549eff8086-04_1150_1164_269_484}

The diagram shows graphs with equations $y = \mathrm { f } ( x )$ and $y = \mathrm { g } ( x )$.\\
Describe fully a sequence of two transformations which transforms the graph of $y = \mathrm { f } ( x )$ to $y = \mathrm { g } ( x )$.\\

\hfill \mbox{\textit{CAIE P1 2023 Q3 [4]}}