June 2025 Paper 2 Q1

1 Describe the single transformation which maps the curve with the equation

\[y = \ln x\]

onto the curve with the equation

\[y = 2\ln x\]

Tick (✓) one box. [1 mark]

• Stretch, scale factor 2, parallel to the \(y\)-axis
• Stretch, scale factor \(\dfrac{1}{2}\), parallel to the \(x\)-axis
• Translation \(\begin{bmatrix}2\\0\end{bmatrix}\)
• Translation \(\begin{bmatrix}0\\2\end{bmatrix}\)