JAMB 1990 · UME · Q29

What is the equation of the quadratic function represented by the graph shown?

−11212xy
Worked solution (try it first)
  1. The curve opens downward, so the x2x^2 term is negative: option C or D.
  2. It crosses the xx-axis at −1-1 and 2, so y=−(x+1)(x−2)y = -(x + 1)(x - 2).
  3. Expand: −(x2−x−2)=−x2+x+2-(x^2 - x - 2) = -x^2 + x + 2, option D.

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