Forward transformation (single point, single transformation)

Given one point on y=f(x), find its image under exactly one specified transformation of f(x).

1 questions · Moderate -0.8

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OCR MEI C2 2013 January Q3
4 marks Moderate -0.8
  1. The point P\((4, -2)\) lies on the curve \(y = f(x)\). Find the coordinates of the image of P when the curve is transformed to \(y = f(5x)\). [2]
  2. Describe fully a single transformation which maps the curve \(y = \sin x^2\) onto the curve \(y = \sin(x - 90)^2\). [2]