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4MA1/1H Jun 2020, Question 25: Transformations of Graphs

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks

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The question, in short

A curve y = g(x) is changed to y = −g(x) by one transformation T; describe T, then use the given graph of y = f(x) to draw y = 2f(x − 1).

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

State fully the single transformation that maps y = g(x) onto y = −g(x).

  1. 1The transformation from y = g(x) to y = −g(x) changes the sign of all y-values.
  2. 2This corresponds to a reflection in the line y = 0 (the x-axis).

AnswerReflection in y = 0

Part (b) · 2 marks

Using the shown graph of y = f(x), sketch y = 2f(x − 1) on the grid.

  1. 1x − 1 inside the bracket: shift right by 1
  2. 22 outside: stretch vertically, multiply y-values by 2
  3. 3(1, 3), (2, 0), (4, −3), (6, 0), (7, 3) move to (2, 6), (3, 0), (5, −6), (7, 0), (8, 6)
  4. 4Draw a U-shaped curve through (2, 6) (3, 0) (5, −6) (7, 0) (8, 6)

AnswerU shaped curve through (2, 6) (3, 0) (5, −6) (7, 0) (8, 6)

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