| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2005 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Function Transformations |
| Type | Single transformation application |
| Difficulty | Easy -1.2 This is a straightforward C1 question testing basic transformation rules. Part (i) requires direct application of the horizontal stretch formula (replace x with 2x), and part (ii) asks for identification of a simple vertical translation. Both parts are routine recall with minimal problem-solving, making this easier than average. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
3 (i) The curve $y = 5 \sqrt { } x$ is transformed by a stretch, scale factor $\frac { 1 } { 2 }$, parallel to the $x$-axis. Find the equation of the curve after it has been transformed.\\
(ii) Describe the single transformation which transforms the curve $y = 5 \sqrt { } x$ to the curve $y = ( 5 \sqrt { } x ) - 3$.
\hfill \mbox{\textit{OCR C1 2005 Q3 [4]}}