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3 marksCompleting the Square

CSEC Additional Mathematics · 2013 · Paper 2 · Question 2(a)(i)

A function f(x) is defined as f(x) = 3x² + 6x - 1.

Express f(x) in the form a(x + h)² + k where h and k are constants.

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Other parts of this question

  1. 2(a)(ii)State the minimum value of f(x).[1 mark]
  2. 2(a)(iii)Determine the value of x for which f(x) is a minimum.[1 mark]
  3. 2(b)Find the set of values of x for which 2x² + 3x - 5 ≥ 0.[4 marks]
  4. 2(c)Find the sum to infinity of the following series: 1/4 + 2/4² + 1/4³ + 2/4⁴ + ... .[5 marks]

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