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0580/33 Oct/Nov 2025, Question 22: Quadratic Graphs and the Parabola

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 6 marks

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The question, in short

Complete a table of y values for y = x² − 4, then plot the graph of y = x² − 4 for −4 ≤ x ≤ 4 on the grid.

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 − 4 at the given x values.

  1. 1x = −3: (−3)² − 4 = 5
  2. 2x = 0: 0 − 4 = −4
  3. 3x = 3: 3² − 4 = 5

Answer5 −4 5

Part (b) · 4 marks

Draw the curve y = x² − 4 on the grid for x from −4 to 4.

  1. 1Plot (−4, 12), (−3, 5), (−2, 0), (−1, −3), (0, −4), (1, −3), (2, 0), (3, 5), (4, 12)
  2. 2Join with a smooth U-shaped curve, lowest point at (0, −4)

AnswerCorrect curve

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Also searched as: 0580/33/O/N/25 · 0580_w25_qp_33 · 0580 w25 33 · question 22.
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