Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The diagram depicts a section of the graph of $y=\sin(a(x+b))$, where $a$ and $b$ are positive constants.
(a)[2]

State the value of $a$ and give one possible value of $b$.

(b)[3]

A second curve has equation $y=f(x)$ and one stationary point at $(p,q)$, where $p$ and $q$ are constants. It is transformed into the curve with equation $y=-3f\left(\frac{1}{4}(x+8)\right)$. For the transformed curve, find the coordinates of the stationary point, and express your answer in terms of $p$ and $q$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: The value is $a=\frac12$.

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