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Completing the Square

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Question 2
75%
a.

Write 5x2−20x+275x^2 - 20x + 275x2−20x+27 in the form a(x+b)2+ca(x + b)^2 + ca(x+b)2+c where aaa, bbb, and c c\,c are integers.

[3]
b.

Hence, or otherwise, write down the coordinates of the turning point of the graph of y=5x2−20x+27y = 5x^2 - 20x + 27y=5x2−20x+27

[1]

Completing the Square Questions

  1. GCSE
  2. /Maths
  3. /Completing the Square

Practise AQA GCSE Maths Completing the Square with exam-style questions for Foundation and Higher tier. 56 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank