ECZ 2025 · O-Level Paper 1 — Quadratic Functions

The following is the graph of y = -x2 + 12x - 11. The graph cuts the x-axis at A and B. Find the coordinates of the points A and B.

Diagram for ECZ 2025 · O-Level Paper 1
  • A. A(1, 0) and B(11, 0)
  • B. A(-1, 0) and B(-11, 0)
  • C. A(0, 1) and B(0, 11)
  • D. A(-1, 0) and B(11, 0)

Verified working — step 1

Points on the x-axis have y = 0. Set the equation to zero, and make the x2 term positive before factorising - it is far easier to handle.

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

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

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