| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2014 |
| Session | June |
| Marks | 2 |
| Topic | Function Transformations |
| Type | Composite transformation sketch |
| Difficulty | Moderate -0.3 This question requires applying standard function transformations (horizontal shift, vertical shift, reflection, and vertical stretch) to sketch a given graph. While it involves multiple transformations in part (i), these are routine A-level techniques with no problem-solving or novel insight required. The transformations are straightforward applications of well-practiced rules, making it slightly 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]{0eb5bd24-e656-40f0-ad85-f21d3e2edf77-2_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]}}