2022 BTYSS P1 Q5

2022 BTYSS P1 Q5

Secondary 4
4 marks
  1. Show that \(\mathrm f(x)=4x^2-10x+16\) can be written as \(\mathrm f(x)=a(x-b)^2+c\), where \(a\), \(b\) and \(c\) are constants to be found.[3]
  2. Explain why the function \(\mathrm f(x)\) is always positive.[1]

Solution:

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Answer:(a) \(4(x-\dfrac54)^2+\dfrac{39}4\). (b) Minimum \(39/4>0\).

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