June 2022 Paper 1 Q3

3 The curve

\[y = \log_4 x\]

is transformed by a stretch, scale factor 2, parallel to the \(y\)-axis.

State the equation of the curve after it has been transformed.

Circle your answer. [1 mark]

  • \(y = \dfrac{1}{2}\log_4 x\)
  • \(y = 2\log_4 x\)
  • \(y = \log_4 2x\)
  • \(y = \log_8 x\)