| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Year | 2010 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Curve Sketching |
| Type | Single transformation between given equations |
| Difficulty | Easy -1.8 This is a very straightforward C1 question testing basic transformations and curve sketching. Part (i) requires simple recall that y = (x+4)² is a horizontal translation of y = x² by 4 units left. Part (ii) asks for a sketch of a standard parabola shifted down 4 units, requiring only plotting the vertex and intercepts. Both parts are routine textbook exercises with no problem-solving element. |
| Spec | 1.02n Sketch curves: simple equations including polynomials1.02w Graph transformations: simple transformations of f(x) |
4 (i) Describe fully the transformation which maps the curve $y = x ^ { 2 }$ onto the curve $y = ( x + 4 ) ^ { 2 }$.\\
(ii) Sketch the graph of $y = x ^ { 2 } - 4$.
\hfill \mbox{\textit{OCR MEI C1 2010 Q4 [4]}}