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O-LevelAdditional MathematicsQuadratic functions4037/11 · Oct/Nov 2010 · Q13 Marks

The equation of a curve is given by y = 2x² + ax + 14, where a is a constant. Given that this equation can also be written as y = 2(x – 3)² + b, where b is a constant, find

  1. (i)the value of a and of b,[2]
  2. (ii)the minimum value of y.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2010). The mark or mark type is shown in brackets.

  1. B1, B1 B1 for each
  2. √ B1 Follow through on their y value

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About this question

Topic
Quadratic functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2010 Paper 1 Variant 1, question 1.

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