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4MA1/1F Jun 2019, Question 18: Quadratic Graphs and the Parabola

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 4 marks

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The question, in short

Complete a table of values for y = x² − 3x − 1 and draw its graph on the grid for x from −2 to 4.

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

Part (a) · 2 marks

Fill in the missing y values in the table for y = x² − 3x − 1 at the given x values.

  1. 1Substitute each missing x into y = x² − 3x − 1
  2. 2x = −2: 4 + 6 − 1 = 9 and x = −1: 1 + 3 − 1 = 3
  3. 3x = 1: 1 − 3 − 1 = −3 and x = 3: 9 − 9 − 1 = −1
  4. 4The missing values are 9, 3, −3, −1

Answer9, 3, −3, −1

Part (b) · 2 marks

Plot the graph of y = x² − 3x − 1 on the grid for x from −2 to 4.

  1. 1Plot the points from part (a): (−2,9), (−1,3), (0,−1), (1,−3), (2,−3), (3,−1), (4,3)
  2. 2Draw a smooth curve through all the points
  3. 3The graph has a U-shape with minimum between x=1 and x=2

AnswerA smooth curve through (−2, 9), (−1, 3), (0, −1), (1, −3), (2, −3), (3, −1), (4, 3)

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