ECZ 2018 · GCE Paper 1 — Quadratic Functions

The diagram shows a sketch of the parabola y = x² + 2x − 8, which meets the x-axis at −4 and 2. Find the coordinates of the turning point.

Diagram for ECZ 2018 · GCE Paper 1
  • A. (−1, −5)
  • B. (1, −9)
  • C. (−1, −9)
  • D. (−2, −8)

Verified working — step 1

By symmetry the turning point lies midway between the roots: x = −4 + 22= −1. Substituting: y = (−1)² + 2(−1) − 8 = 1 − 2 − 8 = …

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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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