2026 NASS P1 Q23

2026 NASS P1 Q23

Secondary 4
4 marks

\(y=k-(x-h)^2\)

  1. Explain why \(y\) has its maximum value when \(x=h\).[1]
  2. Solve the equation \(41-12x-x^2=0\) by completing the square.
    Give your solution correct to 2 decimal places.[3]

Solution:

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Answer:(a) \(y\leq k\), with equality at \(x=h\). (b) \(x=2.77\) or \(-14.77\).

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