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3 marksCompleting the Square

CSEC Additional Mathematics · 2014 · Paper 2 · Question 2(a)(i)

Given that f(x) = -2x² - 12x – 9.

Express f(x) in the form k+ a (x+h)², where a, h and k are integers to be determined.

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Other parts of this question

  1. 2(a)(ii)State the maximum value of f(x).[1 mark]
  2. 2(a)(iii)Determine the value of x for which f(x) is a maximum.[1 mark]
  3. 2(b)Find the set of values of x for which 3 + 5x - 2x² ≤ 0.[4 marks]
  4. 2(c)(i)Show that this series is geometric.[3 marks]
  5. 2(c)(ii)Find the sum to infinity of this series, giving your answer as an exact fraction.[2 marks]

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