ECZ 2020 · O-Level Paper 1 — Quadratic Functions
The diagram shows the sketch of the graph of y = -x² + 2x + 3 cutting the x-axis at A and B, with A to the left of B. Find (i) the coordinates of A.
- A. (3, 0)
- B. (0, 3)
- C. (-1, 0)
- D. (1, 0)
Verified working — step 1
At the x-axis y = 0: -x² + 2x + 3 = 0 ⇒ x² - 2x - 3 = 0 ⇒ (x - 3)(x + 1) = 0 ⇒ x = 3 or x = -1. A is the left-hand intercept, so A = …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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