Mathematics 9709 · AS & A Level · Functions

Functions — practice question

The diagram contains two curves. One has equation $y = \sin x$, while the other has equation $y = f(x)$.
(a)[4]

To change the curve $y = \sin x$ into the curve $y = f(x)$, the curve $y = \sin x$ is reflected first in the $x$-axis. Fully describe a sequence of two more transformations that are needed.

(b)[2]

Determine $f(x)$ in terms of $\sin x$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Recognises a stretch factor of $3$ in the $y$-direction

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