| Exam Board | WJEC |
|---|---|
| Module | Unit 3 (Unit 3) |
| Year | 2024 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Modulus function transformations |
| Difficulty | Moderate -0.8 This is a straightforward modulus function question requiring basic graph sketching and simple transformations. Part (a) involves plotting y = |3x + 4| (finding intercepts at x = -4/3 and y = 4), while part (b) applies a vertical scaling by 1/2 and translation down 6 units. Both parts are routine exercises with no problem-solving or novel insight required, making it easier than average but not trivial since it involves multiple steps and transformation application. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02w Graph transformations: simple transformations of f(x) |
A function $f$ is given by $f(x) = |3x + 4|$.
\begin{enumerate}[label=(\alph*)]
\item Sketch the graph of $y = f(x)$. Clearly label the coordinates of the point $A$, where the graph meets the $x$-axis, and the coordinates of the point $B$, where the graph cuts the $y$-axis. [3]
\item On a separate set of axes, sketch the graph of $y = \frac{1}{2}f(x) - 6$, where the points $A$ and $B$ are transformed to the points $A'$ and $B'$.
Clearly label the coordinates of the points $A'$ and $B'$. [3]
\end{enumerate}
\hfill \mbox{\textit{WJEC Unit 3 2024 Q4 [6]}}