2026 NORTHBROOKS P1 Q7

2026 NORTHBROOKS P1 Q7

Secondary 4
6 marks
  1. State the amplitude and period of \(y=3\sin2x+1\).[2]
  2. Sketch the graph of \(y=3\sin2x+1\) for \(0^\circ\le x\le360^\circ\).[3]
  3. Given that \(3\sin2x+1=k\) has two solutions, state the possible values of \(k\).[1]

Solution:

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Answer:(a) Amplitude \(3\), period \(180^\circ\). (b) Two complete periods with range \([-2,4]\). (c) \(k=4\) or \(-2\).

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