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4MA1/1H Jun 2024, Question 21: Transformations of Graphs

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 2 marks

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The question, in short

A curve y = f(x) has a single minimum at (5, −4). Find the minimum point coordinates after two transformations of the curve.

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

Part (ai) · 1 mark

For y = f(x + 7), state the coordinates of the minimum point.

  1. 1The transformation y = f(x + 7) shifts the graph left by 7 units.
  2. 2x-coordinate: 5 − 7 = −2
  3. 3y-coordinate remains unchanged: −4
  4. 4(−2, −4)

Answer(−2, −4)

Part (aii) · 1 mark

For y = f(x) − 6, state the coordinates of the minimum point.

  1. 1The transformation y = f(x) − 6 shifts the graph down by 6 units.
  2. 2x-coordinate remains unchanged: 5
  3. 3y-coordinate: −4 − 6 = −10
  4. 4(5, −10)

Answer(5, −10)

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