June 2024 Paper 2 Q2
2 The equation of a curve is \(y = \mathrm{e}^x\). The curve is subject to a translation \(\begin{pmatrix}3\\0\end{pmatrix}\) and a stretch scale factor 2 parallel to the \(y\)-axis.
Write down the equation of the new curve. [2]
| Scheme | Marks | AO |
|---|---|---|
| \(2\mathrm{e}^x\) soi or \(-3\) seen in exponent | M1 | 1.1 |
| \(y = 2\mathrm{e}^{x-3}\) or \(\mathrm{f}(x) = 2\mathrm{e}^{x-3}\) oe isw | A1 | 1.1 |
| [2] |
Notes
M1: eg M1 for \(2\mathrm{e}^x - 3\) or \(e^{\frac{1}{2}x-3}\);
A1: must be an equation; B2 for correct answer with no working