| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Completing the square and sketching |
| Type | Transformations of quadratic graphs |
| Difficulty | Easy -1.2 Part (i) is a straightforward quadratic equation requiring simple rearrangement and solving x² = 25. Part (ii) tests basic understanding of horizontal translation using standard notation, requiring only substitution of (x-2) for x. Both parts are routine recall with minimal problem-solving, making this easier than average. |
| Spec | 1.02f Solve quadratic equations: including in a function of unknown1.02w Graph transformations: simple transformations of f(x) |
| Answer | Marks |
|---|---|
| \(y = (x - 2)^2 - 4\) or \(y = x^2 - 4x\) o.e. isw | 2 |
| Answer | Marks |
|---|---|
| M1 if \(y\) omitted or for \(y = (x + 2)^2 - 4\) or \(y = x^2 + 4x\) o.e. | 4 |
Question 1: (ii)
$y = (x - 2)^2 - 4$ or $y = x^2 - 4x$ o.e. isw | 2
B1 for one soln
M1 if $y$ omitted or for $y = (x + 2)^2 - 4$ or $y = x^2 + 4x$ o.e. | 41 (i) A curve has equation $y = x ^ { 2 } - 4$. Find the $x$-coordinates of the points on the curve where $y = 21$.\\
(ii) The curve $y = x ^ { 2 } - 4$ is translated by $\binom { 2 } { 0 }$.
Write down an equation for the translated curve. You need not simplify your answer.
\hfill \mbox{\textit{OCR MEI C1 Q1 [4]}}