plumiQuadratic graphs and turning points: Edexcel GCSE Maths questions
Every Edexcel GCSE Maths exam question on A11 Quadratic graphs and turning points, 2017–2025, with its mark scheme and examiner’s report.
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All 20 questions on Quadratic graphs and turning points, as a list
- June 2025, Paper 1H, Q3 (5 marks): (a) Complete the table of values for y = x 2 + x – 4 –3 –2 –1 0 1 2 x y 2 –4 (b) On the grid, draw the graph of y = x 2 + x – 4 for values of x from –3 to 2 y 3
- November 2024, Paper 2H, Q5 (4 marks): (a) Complete the table of values for y = x 2 – 2x – 3 x –2 –1 0 1 2 3 4 y 0 –3 (b) On the grid, draw the graph of y = x 2 – 2x – 3 for values of x from –2 to 4
- November 2024, Paper 3H, Q23 (5 marks): Sketch the graph of 2 – 6px – 7 where p > 0 y = x showing the coordinates of the turning point, in terms of p, and the coordinates of the intercept with the y-a
- June 2024, Paper 2H, Q5 (6 marks): (a) Complete the table of values for y = x 2 – x –2 –1 0 1 2 3 x y 6 0 2 (b) On the grid, draw the graph of y = x 2 – x for values of x from –2 to 3 y 8 7 6 5 4
- June 2024, Paper 2H, Q20 (3 marks): The curve C has equation y = 2x 2 – 12x + 7 Find the coordinates of the turning point on C. ( , )
- November 2023, Paper 3H, Q17 (7 marks): (a) (i) Write x2 – 8x + 3 in the form (x – a)2 – b where a and b are integers. (ii) Hence, write down the coordinates of the turning point on the graph of y = x
- June 2023, Paper 3H, Q7 (2 marks): Here is the graph of y = x 2 – 2x – 2 y 4 3 2 1 –2 –1 O 1 2 3 4 x –1 –2 –3 –4 (a) Write down the coordinates of the turning point on the graph of y = x 2 – 2x –
- November 2022, Paper 2H, Q7 (4 marks): Here is the graph of y = x2 − 6x + 4 y 12 10 8 6 4 2 −1 O 1 2 3 4 5 6 7 x −2 −4 −6 (a) Write down the y intercept of the graph of y = x2 − 6x + 4 (b) Write down
- November 2022, Paper 3H, Q21 (3 marks): The equation of a curve is y = 4x2 − 56x The curve has one turning point. By completing the square, show that the coordinates of the turning point are (7, −196)
- June 2022, Paper 1H, Q6 (6 marks): (a) Complete the table of values for y = x2 − 3x + 1 −1 0 1 2 3 4 x y 1 −1 (b) On the grid, draw the graph of y = x2 − 3x + 1 for values of x from −1 to 4 y 6 5
- November 2021, Paper 1H, Q22 (4 marks): Find the coordinates of the turning point on the curve with equation y = 9 + 18x – 3x2 You must show all your working. ( , )
- November 2021, Paper 2H, Q4 (6 marks): (a) Complete the table of values for y = x2 – 2x + 2 x –2 –1 0 1 2 3 4 y 10 2 5 (b) On the grid, draw the graph of y = x2 – 2x + 2 for values of x from –2 to 4
- November 2020, Paper 2H, Q17 (1 mark): Write down the coordinates of the turning point on the graph of y = (x + 12)2 – 7 ( , )
- November 2019, Paper 1H, Q21 (5 marks): Sketch the graph of y = 2x2 – 8x – 5 showing the coordinates of the turning point and the exact coordinates of any intercepts with the coordinate axes.
- June 2019, Paper 1H, Q19 (3 marks): Given that x2 – 6x + 1 = (x – a)2 – b for all values of x, (i) find the value of a and the value of b. a = b = (ii) Hence write down the coordinates of the turn
- November 2018, Paper 1H, Q17 (4 marks): Here is a sketch of a curve. y O x The equation of the curve is y = x2 + ax + b where a and b are integers. 7KHSRLQWV í DQG OLHRQWKHFXUYH Fi
- November 2018, Paper 3H, Q3 (5 marks): (a) Complete this table of values for y = x2 + x – 4 x –3 –2 –1 0 1 2 3 y –2 ± –2 (b) On the grid, draw the graph of y = x2 + x – 4 for values of x from –3 to
- June 2018, Paper 2H, Q5 (6 marks): (a) Complete the table of values for y = x2 – x – 6 x –3 –2 –1 0 1 2 3 y 6 – 6 (b) On the grid, draw the graph of y = x2 – x – 6 for values of x from –3 to 3 y
- November 2017, Paper 3H, Q13 (2 marks): Write [࣠2 + 6࣠[í LQWKHIRUP x + a)2 + b where a and b are integers.
- June 2017, Paper 1H, Q11 (3 marks): The graph of y = f(x) is drawn on the grid. y 6 5 4 3 2 1 –2 –1 1 2 3 4 x O –1 –2 –3 –4 (a) Write down the coordinates of the turning point of the graph. ( , )
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