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O-LevelAdditional MathematicsQuadratic functions4037/21 · May/June 2020 · Q24 Marks

Write 9x²-12x+5 in the form p(x-q)² +r, where p, q and r are constants.

  1. (a)Write 9x²-12x+5 in the form p(x-q)² +r, where p, q and r are constants.[3]
  2. (b)Hence write down the coordinates of the minimum point of the curve y = 9x² - 12x+5.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [B3] B1 for each of p, q, r correct in correctly formatted expression; allow correct equivalent values
  2. If B0 then SC2 for 9(x-2/3)²+1 or SC1 for correct values but other incorrect format
  3. [B1] FT their (a)

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About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2020 Paper 2 Variant 1, question 2.

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