(a)[3]
The diagram below gives the graph of $y = f(x)$. On the diagram sketch the graph of $y = g(x)$.
(b)[2]
Find an expression for $g(x)$ in terms of $f(x)$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The curve given by $y = f(x)$ is carried over to the curve given by $y = g(x)$ by a stretch in the $x$-direction with factor $0.5$, then a translation of $\begin{pmatrix}0\\1\end{pmatrix}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Three lowest points of transformed graph plotted correctly at $y=2$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI