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Recovering a factored quadratic from its graph

Recovering a factored quadratic from its graph

Secondary 2
4 marks
TGM Original Questions

Optional extension

The graph shown has equation \(y=a(x-b)(x-c)\), where \(b>c\).

  1. Find \(a,b,c\) and hence write the expanded equation.[2]
  2. Find the coordinates of the turning point \(V\).[2]

Solution:

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Answer:(a) \(a=1,b=4,c=-2\), so \(y=x^2-2x-8\) (b) \(V=(1,-9)\).

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