Moderate -0.5 This is a straightforward graph transformation question requiring identification of two basic transformations (likely translation and/or stretch) from visual inspection. While it requires understanding of transformation notation and careful observation of coordinate changes, it's a standard P1 exercise with no complex problem-solving or novel insight needed—slightly easier than average.
1
\includegraphics[max width=\textwidth, alt={}, center]{51bd3ba6-e1d1-4c07-81cd-d99dd77f9306-02_778_1061_269_532}
The diagram shows the graph of \(y = \mathrm { f } ( x )\), which consists of the two straight lines \(A B\) and \(B C\). The lines \(A ^ { \prime } B ^ { \prime }\) and \(B ^ { \prime } C ^ { \prime }\) form the graph of \(y = \mathrm { g } ( x )\), which is the result of applying a sequence of two transformations, in either order, to \(y = \mathrm { f } ( x )\).
State fully the two transformations.
B2 for fully correct, B1 with two elements correct. \(\{\}\) indicates different elements.
{Stretch} {[scale] factor 2} {parallel to \(x\)-axis}
B2, 1, 0
B2 for fully correct, B1 with two elements correct.
4
Transformations can be in either order.
## Question 1:
| Answer | Marks | Guidance |
|--------|-------|----------|
| {Translation} $\begin{pmatrix} 0 \\ -2 \end{pmatrix}$ | **B2, 1, 0** | B2 for fully correct, B1 with two elements correct. $\{\}$ indicates different elements. |
| {Stretch} {[scale] factor 2} {parallel to $x$-axis} | **B2, 1, 0** | B2 for fully correct, B1 with two elements correct. |
| | **4** | Transformations can be in either order. |
1\\
\includegraphics[max width=\textwidth, alt={}, center]{51bd3ba6-e1d1-4c07-81cd-d99dd77f9306-02_778_1061_269_532}
The diagram shows the graph of $y = \mathrm { f } ( x )$, which consists of the two straight lines $A B$ and $B C$. The lines $A ^ { \prime } B ^ { \prime }$ and $B ^ { \prime } C ^ { \prime }$ form the graph of $y = \mathrm { g } ( x )$, which is the result of applying a sequence of two transformations, in either order, to $y = \mathrm { f } ( x )$.
State fully the two transformations.\\
\hfill \mbox{\textit{CAIE P1 2023 Q1 [4]}}