plumiGraph transformations: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on B.8 Graph transformations, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 12 questions on Graph transformations, as a list
- June 2025, Paper 2, Q1 (1 mark): Describe the single transformation which maps the curve with the equation y = ln x onto the curve with the equation y = 2 ln x Tick (✓) one box. [1 mark] Stretc
- June 2025, Paper 3, Q9 (5 marks): (a) Describe a sequence of two transformations which maps the graph with equation y = 1 x onto the graph with equation y = 3 x – 4 [2 marks] 9 (b) State the equ
- June 2024, Paper 1, Q11 (5 marks): It is given that f (x) = x(x – a)(x – 6) where 0 < a < 6 11 (a) Sketch the graph of y = f (x) on the axes below. [3 marks] y x O 11 (b) Sketch the graph of y =
- June 2023, Paper 1, Q3 (1 mark): The curve with equation y = ln x is transformed by a stretch parallel to the x-axis with scale factor 2 Find the equation of the transformed curve. Circle your
- June 2023, Paper 3, Q6 (9 marks): (a) Sketch the curve with equation y = x2(2x + a) where a > 0 [3 marks] O y x 6 (b) The polynomial p(x) is given by p(x) = x2(2x + a) + 36 6 (b) (i) It is given
- June 2022, Paper 1, Q3 (1 mark): The curve y = log4 x is transformed by a stretch, scale factor 2, parallel to the y-axis. State the equation of the curve after it has been transformed. Circle
- June 2022, Paper 1, Q7 (3 marks): Sketch the graph of y = cot x × p 2 for 0 − x − 2p [3 marks] x y O 2
- June 2022, Paper 2, Q8 (5 marks): (a) Sketch the graph of y = 1 x2 [2 marks] x y 8 (b) The graph of y = 1 x2 can be transformed onto the graph of y = 9 x2 using a stretch in one direction. Beth
- November 2021, Paper 3, Q9 (9 marks): A function f is defined for all real values of x as f (x) = x4 + 5x3 The function has exactly two stationary points when x = 0 and x = − 15 4 9 (a) (i) Find f 0
- November 2020, Paper 3, Q6 (7 marks): The graph of y = f (x) is shown below. (2, 6) (0, 2) O (–2, –2) (–1, 0) x y 6 (a) Sketch the graph of y = f (−x) [2 marks] x O y 6 (b) Sketch the graph of y = 2
- June 2018, Paper 1, Q2 (1 mark): The graph of y = 5x is transformed by a stretch in the y-direction, scale factor 5 State the equation of the transformed graph. Circle your answer. [1 mark] y =
- June 2018, Paper 2, Q8 (10 marks): (a) Determine a sequence of transformations which maps the graph of y = sinx onto the graph of y = 3 p sin x − 3 cos x + 4 Fully justify your answer. [7 marks]
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