Mathematics 9709 · AS & A Level · Functions

Functions — practice question

On the diagram, $y=f(x)$ is drawn with solid lines, while $y=g(x)$ is drawn with broken lines.
(a)[6]

Describe fully the sequence of three transformations that takes the graph of $y = f(x)$ to the graph of $y = g(x)$.

(b)[2]

Find an expression for $g(x)$ written in the form $af(bx + c)$, where $a$, $b$ and $c$ are integers.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Reflection in the $y$-axis identified.

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