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4MA1/2HR Jun 2024, Question 23: Transformations of Graphs

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 2 marks

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The question, in short

A curve y = f(x) has a minimum at (6, −3). Find the minimum coordinates after two transformations of the equation.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (i) · 1 mark

For y = f(x) + 10, state the coordinates of the minimum point.

  1. 1The transformation y = f(x) + 10 shifts the curve vertically up by 10 units.
  2. 2The y-coordinate of the minimum point increases by 10: −3 + 10 = 7.
  3. 3(6, −3) becomes (6, 7)

Answer(6, 7)

Part (ii) · 1 mark

For y = f(3x), state the coordinates of the minimum point.

  1. 1The transformation y = f(3x) compresses the curve horizontally by a scale factor of 1/3.
  2. 2The x-coordinate of the minimum point is divided by 3: 6 ÷ 3 = 2.
  3. 3(6, −3) becomes (2, −3)

Answer(2, −3)

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