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4MA1/2HR Jun 2024, Question 16: Recognising and Sketching Graph Shapes

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

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The question, in short

Six sketch graphs A to F are shown with x and y axes. Identify which letter corresponds to each given equation.

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

Part (i) · 1 mark

Choose the letter of the graph that could represent y = −1/x.

  1. 1The equation is y = −1/x, a reciprocal graph
  2. 2When x is positive, −1/x is negative, so that branch lies below the x-axis on the right
  3. 3When x is negative, −1/x is positive, so that branch lies above the x-axis on the left
  4. 4The curve never crosses either axis, so both axes are asymptotes
  5. 5The graph with one branch above the axis on the left and one below it on the right is E

AnswerE

Part (ii) · 1 mark

Choose the letter of the graph that could represent y = sin x°.

  1. 1y = sin x° is a wave that repeats every 360°
  2. 2It crosses the x-axis at 0°, 180° and 360°, rising to 1 and falling to −1
  3. 3The graph with that repeating wave shape is A

AnswerA

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