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A-LevelMathematicsFunctions9709/12 · May/June 2025 · Q14 Marks

The diagram shows the graphs with equations y = f(x) and y = g(x). Describe fully a sequence of two transformations which transforms the graph of y = f(x) to the graph of y = g(x). Make clear the order in which the transformations should be applied.

  1. Describe fully a sequence of two transformations which transforms the graph of y = f(x) to the graph of y = g(x). Make clear the order in which the transformations should be applied.[4]

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Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [2] {Stretch} {factor 2} {'parallel to y-axis' or 'in y-direction' or 'vertically'}
  2. [2] {Translation} {0} ({-14} or {-14} {'parallel to the y-axis' or ‘in the y-direction' or 'vertically'})
  3. [2] {Translation by} {0} ({-7} or {-7} {'parallel to the y-axis' or 'in the y-direction' or 'vertically'})
  4. [2] {Stretch} {factor 2} {'parallel to y-axis' or 'in y-direction' or 'vertically'}

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About this question

Topic
Functions, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, May/June 2025 Paper 1 Variant 2, question 1.

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