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Graph transformations: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on A13 Graph transformations, 2017–2025, with its mark scheme and examiner’s report.

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997 questions

  1. Q22

    June 2025 · Paper 2H

    3 marksA16 Equation of a circle and tangentsA13 Graph transformations
    The whole paper ↗
    June 2025 Paper 2H, question 22: The equation of circle A is x 2 + y 2 = 25 0  Circle A is translated by the vector  to give circle B. 2 Sketch circle B. Show the coordinates of the centre o

  2. Q21

    November 2024 · Paper 3H

    4 marksA13 Graph transformationsA12 Recognising and sketching graphs
    The whole paper ↗
    November 2024 Paper 3H, question 21: Here is the graph of y = f (x) y y = f (x) O x (a) On the grid, draw the graph of y = −f (x) Here is a sketch of the graph of y = sin x° y O x P The point marke

  3. Q21

    June 2024 · Paper 2H

    2 marksA13 Graph transformations
    The whole paper ↗
    June 2024 Paper 2H, question 21: The graph of y = g(x) is shown on the grid. y 6 5 4 3 2 y = g(x) 1 x O –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 –4 –5 –6 On the grid, draw the graph of y = g(– x)

  4. Q19

    November 2023 · Paper 1H

    3 marksA12 Recognising and sketching graphsA13 Graph transformations
    The whole paper ↗
    November 2023 Paper 1H, question 19: Here is the graph of y = sin x° for –180  x  180 y 1 O x –180 –90 90 180 –1 (a) Use the graph to find estimates for the solutions of sin x° = 0.3 for –180  x

  5. Q20

    November 2023 · Paper 3H

    3 marksA13 Graph transformations
    The whole paper ↗
    November 2023 Paper 3H, question 20: The turning point on the graph of y = g(x) has coordinates (–3, 6) (a) Write down the coordinates of the turning point on the graph of y = g(x – 7) ( , ) The gr

  6. Q21

    June 2023 · Paper 2H

    2 marksA13 Graph transformations
    The whole paper ↗
    June 2023 Paper 2H, question 21: Here is the graph of y = f(x) y 4 2 O x –6 –4 –2 2 4 6 –2 –4 (a) On the grid below, draw the graph of y = f(x) – 4 y 4 2 O x –6 –4 –2 2 4 6 –2 –4 (b) On the gri

  7. Q23

    November 2022 · Paper 3H

    2 marksA13 Graph transformations
    The whole paper ↗
    November 2022 Paper 3H, question 23: The graph of y = f(x) is shown on the grid below. y 5 4 3 2 1 O x −5 −4 −3 −2 −1 1 2 3 4 5 −1 −2 −3 −4 (a) On the grid above, sketch the graph of y = f(x + 2) y

  8. Q21

    June 2022 · Paper 2H

    3 marksA13 Graph transformations
    The whole paper ↗
    June 2022 Paper 2H, question 21: The graph of y = f (x) is shown on the grid below. y y = f (x) O x (a) On the grid above, sketch the graph of y = f (− x) Here is a sketch of the graph of y = t

  9. Q18

    November 2021 · Paper 2H

    4 marksA12 Recognising and sketching graphsA13 Graph transformations
    The whole paper ↗
    November 2021 Paper 2H, question 18: Here is a graph of y = sin x° for 0  x  360 y 1 O 90 180 270 x 360 –1 (a) Using this graph, find estimates of all four solutions of sin x° = 0.6 for 0  x  7

  10. Q21

    November 2020 · Paper 2H

    4 marksA13 Graph transformations
    The whole paper ↗
    November 2020 Paper 2H, question 21: The graph of the curve with equation y = f(x) is shown on the grid below. y 2 O x –4 –2 2 4 –2 (a) On the grid above, sketch the graph of the curve with equatio

  11. Q20

    November 2019 · Paper 1H

    3 marksA13 Graph transformations
    The whole paper ↗
    November 2019 Paper 1H, question 20: The graph of y = f(x) is shown on the grid. y 6 y = f(x) 4 2 A(–2, 1) O x –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –2 –4 –6 (a) On the grid, draw the graph with equation y

  12. Q15

    June 2019 · Paper 3H

    2 marksA13 Graph transformations
    The whole paper ↗
    June 2019 Paper 3H, question 15: The graph of the curve C with equation y f(x) is transformed to give the graph of the curve S with equation y f(x)  3 The point on C with coordinates (7, 2)

  13. Q18

    November 2018 · Paper 1H

    2 marksA13 Graph transformations
    The whole paper ↗
    November 2018 Paper 1H, question 18: The graph of y = f(x) is shown on the grid below. y y = f(x) 2 í í O 2 4 6 x í (a) On the grid above, sketch the graph of y = f(xí y graph A graph B 2 í

  14. Q18

    June 2018 · Paper 1H

    2 marksA13 Graph transformationsA12 Recognising and sketching graphs
    The whole paper ↗
    June 2018 Paper 1H, question 18: Here is the graph of y = sin xƒIRUí- x - 180 y 4 2 –180 –90 O x 90 180 –2 –4 On the grid, sketch the graph of y = sin xƒ±IRUí- x - 180
All 14 questions on Graph transformations, as a list
  1. June 2025, Paper 2H, Q22 (3 marks): The equation of circle A is x 2 + y 2 = 25 0  Circle A is translated by the vector  to give circle B. 2 Sketch circle B. Show the coordinates of the centre o
  2. November 2024, Paper 3H, Q21 (4 marks): Here is the graph of y = f (x) y y = f (x) O x (a) On the grid, draw the graph of y = −f (x) Here is a sketch of the graph of y = sin x° y O x P The point marke
  3. June 2024, Paper 2H, Q21 (2 marks): The graph of y = g(x) is shown on the grid. y 6 5 4 3 2 y = g(x) 1 x O –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 –4 –5 –6 On the grid, draw the graph of y = g(– x)
  4. November 2023, Paper 1H, Q19 (3 marks): Here is the graph of y = sin x° for –180  x  180 y 1 O x –180 –90 90 180 –1 (a) Use the graph to find estimates for the solutions of sin x° = 0.3 for –180  x
  5. November 2023, Paper 3H, Q20 (3 marks): The turning point on the graph of y = g(x) has coordinates (–3, 6) (a) Write down the coordinates of the turning point on the graph of y = g(x – 7) ( , ) The gr
  6. June 2023, Paper 2H, Q21 (2 marks): Here is the graph of y = f(x) y 4 2 O x –6 –4 –2 2 4 6 –2 –4 (a) On the grid below, draw the graph of y = f(x) – 4 y 4 2 O x –6 –4 –2 2 4 6 –2 –4 (b) On the gri
  7. November 2022, Paper 3H, Q23 (2 marks): The graph of y = f(x) is shown on the grid below. y 5 4 3 2 1 O x −5 −4 −3 −2 −1 1 2 3 4 5 −1 −2 −3 −4 (a) On the grid above, sketch the graph of y = f(x + 2) y
  8. June 2022, Paper 2H, Q21 (3 marks): The graph of y = f (x) is shown on the grid below. y y = f (x) O x (a) On the grid above, sketch the graph of y = f (− x) Here is a sketch of the graph of y = t
  9. November 2021, Paper 2H, Q18 (4 marks): Here is a graph of y = sin x° for 0  x  360 y 1 O 90 180 270 x 360 –1 (a) Using this graph, find estimates of all four solutions of sin x° = 0.6 for 0  x  7
  10. November 2020, Paper 2H, Q21 (4 marks): The graph of the curve with equation y = f(x) is shown on the grid below. y 2 O x –4 –2 2 4 –2 (a) On the grid above, sketch the graph of the curve with equatio
  11. November 2019, Paper 1H, Q20 (3 marks): The graph of y = f(x) is shown on the grid. y 6 y = f(x) 4 2 A(–2, 1) O x –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 –2 –4 –6 (a) On the grid, draw the graph with equation y
  12. June 2019, Paper 3H, Q15 (2 marks): The graph of the curve C with equation y f(x) is transformed to give the graph of the curve S with equation y f(x)  3 The point on C with coordinates (7, 2)
  13. November 2018, Paper 1H, Q18 (2 marks): The graph of y = f(x) is shown on the grid below. y y = f(x) 2 í í O 2 4 6 x í (a) On the grid above, sketch the graph of y = f(xí y graph A graph B 2 í
  14. June 2018, Paper 1H, Q18 (2 marks): Here is the graph of y = sin xƒIRUí- x - 180 y 4 2 –180 –90 O x 90 180 –2 –4 On the grid, sketch the graph of y = sin xƒ±IRUí- x - 180

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