2. The point \(P ( 2,3 )\) lies on the curve with equation \(y = \mathrm { f } ( x )\).
State the coordinates of the image of \(P\) under the transformation represented by the curve with equation
- \(y = \mathrm { f } ( x + 2 )\)
- \(y = - \mathrm { f } ( x )\)
- \(2 y = f ( x )\)
- \(y = \mathrm { f } ( x ) - 4\)
State the coordinates of the image of \(P\) under the transformation represented by the curve
with equation (a) \(y = \mathrm { f } ( x + 2 )\)