| Exam Board | WJEC |
|---|---|
| Module | Unit 3 (Unit 3) |
| Year | 2018 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Composite transformation sketch |
| Difficulty | Moderate -0.8 This is a standard graph transformations question requiring application of well-rehearsed rules: horizontal translation, vertical stretch, reflection in x-axis, and vertical translation. Each transformation follows directly from A-level formulas with no problem-solving or insight needed—just systematic application of f(x+a), kf(x), and c-f(x) to given coordinates. Easier than average due to its routine, procedural nature. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
The diagram below shows a sketch of the graph of $y = f(x)$. The graph passes through the points $(-2, 0)$, $(0, 8)$, $(4, 0)$ and has a maximum point at $(1, 9)$.
\includegraphics{figure_3}
\begin{enumerate}[label=(\alph*)]
\item Sketch the graph of $y = 2f(x + 3)$. Indicate the coordinates of the stationary point and the points where the graph crosses the $x$-axis. [3]
\item Sketch the graph of $y = 5 - f(x)$. Indicate the coordinates of the stationary point and the point where the graph crosses the $y$-axis. [3]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 3 2018 Q3 [6]}}