2025 JVSS PRELIMS P2 Q8

2025 JVSS PRELIMS P2 Q8

Secondary 4
6 marks
2025 Jurongville Secondary School Prelims A Math Paper 2

The diagram shows the curve \(y=a\sin bx+c\) for \(0\le x\le \dfrac{\pi}{2}\) radians.

The curve has a minimum point at \(\left(\dfrac{\pi}{8},-8\right)\) and a maximum point at \(\left(\dfrac{3\pi}{8},2\right)\).

  1. Explain why \(c=-3\).[2]
  2. Explain why \(b=4\).[2]
  3. Hence find the equation of the curve.[2]

Solution:

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Answer:(a) \(c=-3\) (b) \(b=4\) (c) \(y=-5\sin 4x-3\)

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