plumiGraph transformations: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on A13 Graph transformations, 2017–2025, with its mark scheme and examiner’s report.
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All 13 questions on Graph transformations, as a list
- June 2025, Paper 1H, Q21 (2 marks): The graph of y = f(x) for 0 ⩽ x ⩽ 3 is shown. 21 (a) On the grid below, draw the graph of y = – f(x) for 0 ⩽ x ⩽ 3 The graph of y = f(x) is shown to help you. 2
- November 2024, Paper 1H, Q23 (3 marks): In each part, the graph shown is a transformation of the graph y = x2 23 (a) Write down the equation of the graph shown. Answer 23 (b) Write down the equation o
- November 2023, Paper 3H, Q27 (2 marks): (a) The graph of y = x3 is translated to the graph of y = (x – 2)3 Write down the translation vector. Answer 27 (b) The graph of y = 5x + 4 is refle
- June 2023, Paper 2H, Q26 (4 marks): Here is a sketch of y = x2 26 (a) The minimum point of y = x2 is at (0, 0) Write down the coordinates of the minimum point of y = x2 + 2 Answer ( , ) 26 (b) The
- November 2022, Paper 3H, Q26 (2 marks): Here is a sketch of the graph of y = 5x In parts (a) and (b) the sketch of y = 5x is shown as a dashed line. 26 (a) On the axes below, sketch the graph of y = –
- June 2022, Paper 1H, Q27 (2 marks): The grid shows the graph of y = f(x) On the grid, draw the graph of y = –f(x)
- November 2021, Paper 1H, Q28 (3 marks): Here is the graph of y = cos x for 0° ⩽ x ⩽ 360° In parts (a) and (b) the graph of y = cos x is shown as a dashed line. 28 (a) On the grid below, draw the graph
- November 2020, Paper 1H, Q29 (4 marks): The graph of y = x3 + 6 is translated 4 units to the right. The translated graph has equation y = f(x) Work out f(x). Give your answer in the form x3 + ax2 + bx
- November 2019, Paper 2H, Q20 (1 mark): (7, 28) is a point on the graph y = f(x) Circle the point which must be on the graph y = f(x) + 2 (7, 26) (7, 30) (5, 28) (9, 28)
- November 2018, Paper 2H, Q24 (2 marks): Here is a sketch of y = f(x) The curve passes through the points (–2, –10) (–1, –3) (0, –2) (1, –1) (2, 6) On the grid, sketch the curve y = f(x + 2)
- November 2018, Paper 3H, Q20 (3 marks): Curve P has equation y = 2(x – 1)2 – 5 Curve Q is a reflection in the y-axis of curve P. Work out the equation of curve Q. Give your answer in the form y = ax2
- June 2018, Paper 1H, Q29 (4 marks): Here are sketches of two graphs. The graph of y = x2 – 1 is translated 3 units to the left to give graph A. 29 (a) The equation of graph A can be written in the
- Specimen, Paper 3H, Q27 (1 mark): The curve with equation y = x2 5x + 2 is reflected in the x-axis. Circle the equation of the reflected curve. y = x2 5x 2 y = x2 + 5x + 2 y = –x2 + 5x
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