2026 CVSS P1 Q7

2026 CVSS P1 Q7

Secondary 4
4 marks

The diagram shows the curve \(y=a\sin bx+c\) for \(0\le x\le\dfrac{2\pi}{3}\) radians. The curve has a minimum point at \(\left(\dfrac\pi6,2\right)\) and it meets the \(y\)-axis at \((0,4)\).

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

Solution:

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Answer:(a) Period \(2\pi/3\), so \(b=3\). (b) \(y=-2\sin3x+4\).

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