ECZ 2026 · GCE Paper 1 — Quadratic Functions

The diagram shows a sketch of the graph of y = (-2x + 4)(x + 5), which crosses the x-axis at A and B. Find the maximum value of y.

Diagram for ECZ 2026 · GCE Paper 1
  • A. 24.5
  • B. 20
  • C. 24
  • D. 6.5

Verified working — step 1

The curve is symmetrical, so the maximum sits exactly halfway between the roots x = -5 and x = 2. Find that x, then substitute it into the equation.

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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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