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4MA1/2H Jan 2023, Question 11: Recognising and Sketching Graph Shapes

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks

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The question, in short

Six labelled sketch graphs A to F are shown. Match each of the three given equations to the graph that could represent it, writing the letter on the table.

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

Solution · 3 marks

  1. 1y = −2/x is a reciprocal graph: two separate curves, one in the second quadrant and one in the fourth, approaching but never touching the axes
  2. 2The graph with that shape is B
  3. 3y = 5 − x² is a quadratic with a negative x² term: an n-shaped parabola with its highest point at (0, 5)
  4. 4The graph with that shape is A
  5. 5y = −2x³ is a cubic with a negative x³ term: it falls from top left to bottom right, passing through the origin
  6. 6The graph with that shape is F
  7. 7So the letters are B, A, F

AnswerB A F

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