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4MA1/1H Jun 2025, Question 10: Plotting Curves from a Table of Values

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks

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The question, in short

Complete a table of y values for y = x³ + 2x + 3 at given x values, then plot the curve on a grid for −3 ≤ x ≤ 3.

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

Part (a) · 1 mark

Fill in the two missing y values in the table for y = x³ + 2x + 3 at the given x values.

  1. 1x = −3: (−3)³ + 2(−3) + 3 = −27 − 6 + 3 = −30
  2. 2x = 2: 2³ + 2(2) + 3 = 8 + 4 + 3 = 15

Answer−30, 15

Part (b) · 2 marks

Draw the graph of y = x³ + 2x + 3 on the grid for x from −3 to 3.

  1. 1Plot the 7 points from the table
  2. 2(−3, −30), (−2, −9), (−1, 0), (0, 3), (1, 6), (2, 15), (3, 36)
  3. 3Join them with a smooth curve from x = −3 to x = 3

AnswerA smooth increasing curve through (−3, −30), (−2, −9), (−1, 0), (0, 3), (1, 6), (2, 15), (3, 36)

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