2025 WGS P1 Q6

2025 WGS P1 Q6

Secondary 4
5 marks
  1. Express \(2x^2-6x+7\) in the form \(p(x-q)^2+r\), where \(p\), \(q\) and \(r\) are constants.[3]
  2. Hence explain why the minimum point of the curve \(y=2x^2-6x+7\) is \(\left(\dfrac32,\dfrac52\right)\).[1]
  3. State the range of values of \(k\) for which \(y=k\) has no solutions.[1]

Solution:

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Answer:(a) \(p=2,\ q=\dfrac32,\ r=\dfrac52\). (b) \(\left(\dfrac32,\dfrac52\right)\) (shown). (c) \(k<\dfrac52\).

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