AQA C3 2007 January — Question 2 4 marks

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2007
SessionJanuary
Marks4
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Mark schemeDownload PDF ↗
TopicFunction Transformations
TypeSequence of transformations order
DifficultyStandard +0.3 This is a straightforward function transformation question requiring identification of a horizontal stretch (factor 1/3) followed by a vertical translation (+1). While students must recognize the correct order matters, this is a standard C3 topic with no problem-solving complexity—just direct application of transformation rules.
Spec1.02w Graph transformations: simple transformations of f(x)
2 Describe a sequence of two geometrical transformations that maps the graph of \(y = \sec x\) onto the graph of \(y = 1 + \sec 3 x\).
Question 2:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
Stretch (I), SF \(\frac{1}{3}\) (II), Parallel to \(x\)-axis (III)M1 For I + (II or III)
All correctA1
TranslateE1 Allow translation
\(\begin{pmatrix}0\\1\end{pmatrix}\)B1 Correct vector or description
Total: 4 marks
## Question 2:

| Answer/Working | Marks | Guidance |
|---|---|---|
| Stretch (I), SF $\frac{1}{3}$ (II), Parallel to $x$-axis (III) | M1 | For I + (II or III) |
| All correct | A1 | |
| Translate | E1 | Allow translation |
| $\begin{pmatrix}0\\1\end{pmatrix}$ | B1 | Correct vector or description |

**Total: 4 marks**

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2 Describe a sequence of two geometrical transformations that maps the graph of $y = \sec x$ onto the graph of $y = 1 + \sec 3 x$.

\hfill \mbox{\textit{AQA C3 2007 Q2 [4]}}
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Q1 4 Q2 4 Q3 9 Q4 12 Q5 8 Q6 8 Q7 9 Q8 7 Q9 14