Edexcel PMT Mocks — Question 1 4 marks

Exam BoardEdexcel
ModulePMT Mocks (PMT Mocks)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFunction Transformations
TypeForward transformation (single point, multiple transformations)
DifficultyEasy -1.3 This is a straightforward application of standard function transformation rules requiring only recall and substitution. Each part involves a single, well-defined transformation with no problem-solving or conceptual challenge—students simply apply memorized rules to transform the given point coordinates.
Spec1.02w Graph transformations: simple transformations of f(x)

  1. The point \(P ( 2 , - 3 )\) lies on the curve with equation \(y = \mathrm { f } ( x )\).
State the coordinates of the image of \(P\) under the transformation represented by the curve
a. \(\quad y = | \mathrm { f } ( x ) |\) b. \(y = \mathrm { f } ( x - 2 )\) c. \(y = 3 \mathrm { f } ( 2 x ) + 2\)

AnswerMarks Guidance
(a)\((2,3)\) B1
(b)\((4,-3)\) B1
(c)Either coordinate e.g. \((1, \ldots)\) or \((\ldots, -7)\) M1
\((1,-7)\)A1 Accept without brackets. May be written \(x = 1\) or \(y = -7\)
**(a)** | $(2,3)$ | B1 | Accept without brackets. May be written $x = 2, y = 3$ |
| --- | --- | --- |
| | | |

**(b)** | $(4,-3)$ | B1 | Accept without brackets. May be written $x = 4, y = -3$ |

**(c)** | Either coordinate e.g. $(1, \ldots)$ or $(\ldots, -7)$ | M1 | |
| --- | --- | --- |
| $(1,-7)$ | A1 | Accept without brackets. May be written $x = 1$ or $y = -7$ |

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\begin{enumerate}
  \item The point $P ( 2 , - 3 )$ lies on the curve with equation $y = \mathrm { f } ( x )$.
\end{enumerate}

State the coordinates of the image of $P$ under the transformation represented by the curve\\
a. $\quad y = | \mathrm { f } ( x ) |$\\
b. $y = \mathrm { f } ( x - 2 )$\\
c. $y = 3 \mathrm { f } ( 2 x ) + 2$\\

\hfill \mbox{\textit{Edexcel PMT Mocks  Q1 [4]}}