| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2010 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Single transformation application |
| Difficulty | Moderate -0.8 This is a straightforward C1 question testing basic curve sketching and transformations. Part (i) requires sketching a standard reciprocal function, part (ii) is a simple vertical translation, and part (iii) asks students to state (not derive) the effect of a y-stretch. All components are routine textbook exercises with no problem-solving or novel insight required. |
| Spec | 1.02o Sketch reciprocal curves: y=a/x and y=a/x^21.02w Graph transformations: simple transformations of f(x) |
2 (i) Sketch the curve $y = - \frac { 1 } { x ^ { 2 } }$.\\
(ii) Sketch the curve $y = 3 - \frac { 1 } { x ^ { 2 } }$.\\
(iii) The curve $y = - \frac { 1 } { x ^ { 2 } }$ is stretched parallel to the $y$-axis with scale factor 2 . State the equation of the transformed curve.
\hfill \mbox{\textit{OCR C1 2010 Q2 [5]}}