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Analysing a quadratic in three steps

  • mathematics
  • advanced
  • 14-16

Students find the discriminant, then the x-coordinate of the vertex, then its y-coordinate. Each step is marked separately, so a slip in step one does not cost the marks for the method in steps two and three.

Sample question

Analyse this quadratic function in three steps. $$f(x) = 2x^2 - 4x - 6$$ The two shapes a quadratic graph can take, sketched without a scale. Yours is one of them.
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