plumiGraph transformations: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 2.8 Graph transformations, 2010–2025, 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 10 questions on Graph transformations, as a list
- June 2025, Pure 1, Q1 (4 marks): The point P(6, –4) lies on the curve with equation y = f(x), x ∈ Find the point to which P is mapped when the curve with equation y = f(x) is transformed to t
- June 2025, Pure 1, Q7 (7 marks): O 2 –1 –75 5 C x y Figure 1 Figure 1 shows a sketch of a curve C with equation y = f(x), where f(x) is a quartic expression in x. The curve • has maximum turnin
- June 2025, AS Pure, Q1 (6 marks): y x B (2, 7) A (–1, 0) O y = 3 Figure 1 Figure 1 shows a curve with equation y = f (x) The curve • passes through the point A (–1, 0) • has a maximum turning po
- June 2024, Pure 2, Q3 (4 marks): The point P(3, –2) lies on the curve with equation y = f(x), x ∈ Find the coordinates of the point to which P is mapped when the curve with equation y = f(x)
- June 2022, Pure 1, Q1 (4 marks): The point P (−2, −5) lies on the curve with equation y = f (x), x ∈ Find the point to which P is mapped, when the curve with equation y = f (x) is transformed
- June 2022, AS Pure, Q2 (7 marks): f(x) = 2x3 + 5x2 + 2x + 15 (a) Use the factor theorem to show that (x + 3) is a factor of f(x). (2) (b) Find the constants a, b and c such that f(x) = (x + 3)(a
- November 2021, Pure 2, Q11 (10 marks): y x O Figure 4 Figure 4 shows a sketch of the graph with equation y = | 2x – 3k | where k is a positive constant. (a) Sketch the graph with equation y = f (x) w
- November 2021, AS Pure, Q16 (11 marks): The curve C has equation y = f(x) where f(x) = ax 3 + 15x 2 – 39x + b and a and b are constants. Given • the point (2, 10) lies on C • the gradient of the curve
- June 2019, Pure 1, Q5 (10 marks): f(x) = 2x2 + 4x + 9 x (a) Write f(x) in the form a(x + b)2 + c, where a, b and c are integers to be found. (3) (b) Sketch the curve with equation y = f(x) sho
- June 2019, AS Pure, Q11 (10 marks): f(x) = 2x3 – 13x2 + 8x + 48 (a) Prove that (x – 4) is a factor of f(x). (2) (b) Hence, using algebra, show that the equation f(x) = 0 has only two distinct root
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