ECZ 2019 · GCE Paper 1 — Quadratic Functions

A function y = (1 + x)(x − 2). Which description matches the sketch of its graph?

Diagram for ECZ 2019 · GCE Paper 1
  • A. mathquadratic_functionsq732a.png
  • B. mathquadratic_functionsq732b.png
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  • D. mathquadratic_functionsq732d.png

Verified working — step 1

y = 0 when 1 + x = 0 (x = −1) or x − 2 = 0 (x = 2), so the graph cuts the x-axis at −1 and 2. Expanding gives y = x² − x − 2: the positive x² means it opens upwards, and setting 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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