plumiGraph transformations: OCR MEI A‑Level Maths questions
OCR MEI A-Level Maths past-paper questions on 2.8 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 11 questions on Graph transformations, as a list
- June 2024, Paper 2, Q2 (2 marks): e o and a stretch scale 3 ex 2 The equation of a curve is y . The curve is subject to a translation 0 = factor 2 parallel to the y-axis. Write down the equation
- June 2023, AS Paper 1, Q9 (9 marks): x 9 The graph shows the function y e . = y x O x 2 x (a) Describe the transformation of the graph of y e that gives the graph of y e . [2] = = x A second functi
- June 2022, Paper 3, Q12 (5 marks): a k. r 12 (a) Show that cos x sin x [2] = + 2 16 x ( x ) 2 2 r - 4 x r - (b) Hence show that sin x gives the approximation cos x , as stated . . 2 2 2 x x x 5 4
- June 2022, AS Paper 1, Q4 (6 marks): 4 The quadratic function ( )x f is given by ( ) f x x 3 x 2 . = - + 2 (a) Write ( )x f in the form ( x a ) b , where a and b are constants. [2] + + (b) Write do
- June 2022, AS Paper 1, Q5 (6 marks): Part of the graph of y f ( ) x is shown below. The graph is the image of y tan x ° after a stretch in = = the x-direction. y 15 10 5 x -60 0 60 -5 -10 -15 (a) F
- November 2021, Paper 2, Q1 (2 marks): 1 The equation of a curve is y 4 x 8 x + . 1 = + The curve is stretched parallel to the x-axis with scale factor 2. 2 Find the equation of the new curve, giving
- November 2021, Paper 3, Q1 (5 marks): + 2 1 (a) Express x 8 x + in the form ( 2 x a ) + . b [2] + 2 (b) Write down the coordinates of the turning point of the curve y x 8 x + . 2 [1] = + x2 2 (c) St
- June 2019, Paper 1, Q10 (7 marks): 10 (a) Express cos 7 x 2 sin x in the form R cos ( x ) where R 2 0 and 0 1 1 r, giving the - + a a 2 exact value of R and the value of a correct to 3 significan
- June 2019, Paper 3, Q2 (5 marks): x2 2 2 (a) Find the transformation which maps the curve y to the curve y x 8 x - . 7 [4] = = + 2 (b) Write down the coordinates of the turning point of y x 8 x
- June 2018, Paper 3, Q2 (2 marks): c 1 m. Write down the equation of the translated curve. [2] 3 2 The curve y x 2 x is translated by the vector = - 4 -
- June 2018, AS Paper 1, Q9 (9 marks): ^ h maps onto the curve C1 following a stretch scale factor 2 1 2 1 in the x-direction. 9 The curve y x = - 2 (i) Show that the equation of C1 can be written as
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