NECO 2023 · Paper 1 · Q22

Use the graph (a quadratic graph and a straight line) to answer: the equation of the line of symmetry of the quadratic graph is

−1123−4−22468xy
The vertical scale is half the horizontal scale.
Worked solution (try it first)
  1. A parabola is symmetrical about the vertical line through its lowest point, halfway between its roots.
  2. The curve cuts the xx-axis at −1-1 and 2, so the line is at x=−1+22=0.5x = \frac{-1 + 2}{2} = 0.5.
  3. So the line of symmetry is x=0.5x = 0.5, option C.

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