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A-LevelMathematicsFunctions9709/12 · May/June 2021 · Q25 Marks

The graph of y = f(x) is transformed to the graph of y = 2f(x – 1). Describe fully the two single transformations which have been combined to give the resulting transformation.

  1. (a)The graph of y = f(x) is transformed to the graph of y = 2f(x – 1). Describe fully the two single transformations which have been combined to give the resulting transformation.[3]
  2. (b)The curve y = sin 2x – 5x is reflected in the y-axis and then stretched by scale factor 1/3 in the x-direction. Write down the equation of the transformed curve.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [B1] Translation (1)
  2. [B1] Stretch.
  3. [B1] Factor 2 in y-direction
  4. [B1 B1] [-sin 6x][ + 15x] or [sin(-6x)][+15x] OE

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About this question

Topic
Functions, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2021 Paper 1 Variant 2, question 2.

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