The graph of $y = f(x)$ is changed into the graph of $y = f(2x) - 3$.
(a)[3]
Give a full description of the two separate transformations that have been combined to produce the final transformation.
(b)[2]
The point $P\ (5,\ 6)$ is on the transformed curve $y = f(2x) - 3$. Give the coordinates of the corresponding point on the original curve $y = f(x)$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Identify a stretch with scale factor $2$ or $\tfrac12$.” …