| Exam Board | OCR |
|---|---|
| Module | H240/02 (Pure Mathematics and Statistics) |
| Year | 2018 |
| Session | September |
| Marks | 3 |
| Topic | Curve Sketching |
| Type | Reflections |
| Difficulty | Easy -1.2 This is a straightforward transformation question requiring only basic knowledge of reflections. Part (i) is immediate recall (y = -sin x), and part (ii) requires one simple step of reasoning about distance from y = 0.5. No complex problem-solving or multi-step work needed. |
| Spec | 1.02w Graph transformations: simple transformations of f(x) |
5 The diagram shows the graph of $y = \sin x ^ { \circ }$ for $0 \leqslant x \leqslant 360$.\\
\includegraphics[max width=\textwidth, alt={}, center]{85de9a39-f8be-40ee-b0c8-e2e632be93d8-4_597_965_1909_539}
Find an equation for the transformed curve when the curve $y = \sin x ^ { \circ }$ is reflected in\\
(i) the $x$-axis,\\
(ii) the line $y = 0.5$.
\hfill \mbox{\textit{OCR H240/02 2018 Q5 [3]}}