Mathematics 9709 · AS & A Level · Functions

Functions — practice question

(a)[3]

The graph of $y=f(x)$ changes into the graph of $y=f(3x)+2$. Describe fully the two transformations that have been combined to produce the new graph.

(b)[2]

A graph has equation $y = g(x)$. It is stretched by scale factor $3$ in the $y$-direction and then reflected in the $y$-axis. Write down the equation of the transformed graph in terms of $g$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: A translation by vector $\begin{pmatrix}0\\2\end{pmatrix}$

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