2024 IGCSE Additional Mathematics May/June 0606/21 Q2

2024 IGCSE Additional Mathematics May/June 0606/21 Q2

4 marks
  1. Write \(3+4x-2x^2\) in the form \(a+b(x+c)^2\), where \(a\), \(b\) and \(c\) are integers.[3]
  2. Hence write down the range of the function \(\mathrm{f}(x)=3+4x-2x^2\), where \(x\in\mathbb R\).[1]

Solution:

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Answer:(a) \(5-2(x-1)^2\). (b) \(\mathrm{f}(x)\leq5\).

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