ECZ 2021 · GCE Paper 1 — Quadratic Functions

The diagram shows a sketch of the graph of y = 5 − 4x − x². Find the maximum value of y.

Diagram for ECZ 2021 · GCE Paper 1
  • A. 5
  • B. −2
  • C. 9
  • D. 21

Verified working — step 1

Write y = −(x² + 4x) + 5 = −(x + 2)² + 4 + 5 = −(x + 2)² + 9. The squared term is never negative, so y is greatest when 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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