| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2014 |
| Session | June |
| Marks | 2 |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Moderate -0.8 This is a straightforward function transformation question requiring application of standard rules (horizontal shift, vertical shift, reflection, and vertical scaling). Students need to apply memorized transformation rules to given key points from a graph, which is routine A-level work with no problem-solving or novel insight required. The two-part structure and basic nature of the transformations make it easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
**(i)** Attempt to move the graph sideways and up — M1
Obtain fully correct figure moved 2 units to the left and 1 up — A1 **[2]**
**(ii)** Attempt to scale the figure vertically and clearly reflect in $x$-axis — M1
Obtain fully correct figure with $y$-coordinates halved and reflected in the $x$-axis — A1 **[2]**
NB Scales are required on both axes4 The graph of $\mathrm { f } ( x )$ is shown below.\\
\includegraphics[max width=\textwidth, alt={}, center]{29e924de-bedf-4719-bbfe-f5e0d3191d59-2_949_1127_1041_507}
Draw the graphs of\\
(i) $\mathrm { f } ( x + 2 ) + 1$,\\
(ii) $- \frac { 1 } { 2 } \mathrm { f } ( x )$.
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2014 Q4 [2]}}