ECZ 2023 · GCE Paper 1 — Quadratic Functions

The diagram shows the graph of the function y = x² + 2x − 15. The curve cuts the x-axis at A and B and the y-axis at C. Find the coordinates of B and C.

Diagram for ECZ 2023 · GCE Paper 1
  • A. B(3, 0) and C(0, −15)
  • B. B(−5, 0) and C(0, −15)
  • C. B(3, 0) and C(0, 15)
  • D. B(5, 0) and C(0, −15)

Verified working — step 1

On the x-axis y = 0: x² + 2x − 15 = (x + 5)(x − 3) = 0, so x = −5 or x = 3. From the diagram B is the positive root, so B(3, 0). On the y-axis x = 0, giving y = …

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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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