Point transformation under mapping

Questions asking for the coordinates of a transformed point when a curve undergoes a specified transformation, rather than the equation itself.

1 questions

Edexcel Paper 1 2022 June Q1
  1. The point \(P ( - 2 , - 5 )\) lies on the curve with equation \(y = \mathrm { f } ( x ) , \quad x \in \mathbb { R }\)
Find the point to which \(P\) is mapped, when the curve with equation \(y = \mathrm { f } ( x )\) is transformed to the curve with equation
  1. \(y = f ( x ) + 2\)
  2. \(y = | f ( x ) |\)
  3. \(y = 3 f ( x - 2 ) + 2\)