4 The curve \(y = \mathrm { f } ( x )\) passes through the point \(P\) with coordinates \(( 2,5 )\).
- State the coordinates of the point corresponding to \(P\) on the curve \(y = \mathrm { f } ( x ) + 2\).
- State the coordinates of the point corresponding to \(P\) on the curve \(y = \mathrm { f } ( 2 x )\).
- Describe the transformation that transforms the curve \(y = \mathrm { f } ( x )\) to the curve \(y = \mathrm { f } ( x + 4 )\).