ECZ 2021 · GCE Paper 1 — Quadratic Functions

The diagram shows a sketch of the graph of y = 5 − 4x − x², cutting the x-axis at A and B. Find the coordinates of the points A and B.

Diagram for ECZ 2021 · GCE Paper 1
  • A. A(−5, 0), B(1, 0)
  • B. A(−1, 0), B(5, 0)
  • C. A(−5, 0), B(−1, 0)
  • D. A(0, −5), B(0, 1)

Verified working — step 1

The curve meets the x-axis where y = 0: 5 − 4x − x² = 0, so x² + 4x − 5 = 0 and (x + 5)(x − 1) = 0, giving x = −5 or x = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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