Transformation effect on key points

Questions that ask for the coordinates of a transformed point (typically a minimum or maximum) after applying a given transformation to a curve.

1 questions

OCR MEI C2 2011 January Q4
4 The curve \(y = \mathrm { f } ( x )\) has a minimum point at \(( 3,5 )\).
State the coordinates of the corresponding minimum point on the graph of
  1. \(y = 3 \mathrm { f } ( x )\),
  2. \(y = \mathrm { f } ( 2 x )\).