(a)[5]
Describe fully a valid sequence of transformations. Make the order of application clear.
(b)[3]
Given that $f(x)=a(x+b)^3+c$, state the values of the constants $a$, $b$ and $c$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The diagram displays the graphs of $y=x^3$ and $y=f(x)$. The graph of $y=x^3$ is changed into the graph of $y=f(x)$ by a chain of transformations.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A stretch of scale factor $2$ parallel to the $y$-axis (or with $x$-axis invariant)” …
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