| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Multiple separate transformations (sketch-based, standard transformations) |
| Difficulty | Easy -1.2 This is a straightforward application of basic function transformations (vertical and horizontal translations) requiring only recall of standard rules. Students simply apply y = f(x) + 2 (shift up 2) and y = f(x + 2) (shift left 2) to two given points, with no problem-solving or conceptual challenge beyond memorizing transformation rules. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks |
|---|---|
| Curve | B1 |
| Point A \((3, -2)\) | B1 |
| Point B \((5, 2)\) | B1 |
| Answer | Marks |
|---|---|
| Curve | B1 |
| Both points: \(A(1, -4)\), \(B(3, 0)\) | B1 |
**Part (i)**
Curve | B1 |
Point A $(3, -2)$ | B1 |
Point B $(5, 2)$ | B1 |
**Part (ii)**
Curve | B1 |
Both points: $A(1, -4)$, $B(3, 0)$ | B1 |10 The diagram shows the graph of $y = \mathrm { f } ( x )$.\\
\includegraphics[max width=\textwidth, alt={}, center]{4c556b8e-1a19-4480-bf2a-0ef9e67f98b4-3_507_1085_933_383}
A is the minimum point of the curve at $( 3 , - 4 )$ and B is the point $( 5,0 )$.\\
On separate diagrams on graph paper, draw the graphs of the following. In each case give the coordinates of the images of the points A and B .\\
(i) $\quad y = \mathrm { f } ( x ) + 2$,\\
(ii) $y = \mathrm { f } ( x + 2 )$.
\hfill \mbox{\textit{OCR MEI C1 Q10 [5]}}