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3 marksCompleting the Square

CSEC Additional Mathematics · 2019 · Paper 2 · Question 2(a)(i)

The function f(x) is given by f(x) = -2x² - 7x - 6.

Express f(x) = -2x² - 7x - 6 in the form a(x + h)² + k.

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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)State the value of x for which f(x) is a maximum.[1 mark]
  3. 2(a)(iv)Use your answer in (a)(i) to determine all values of x when f(x) = 0.[3 marks]
  4. 2(a)(v)Sketch the function f(x) and show your solution set to (a)(iv) when f(x) < 0.[2 marks]
  5. 2(b)Prove that S∞ = xy(x² - y)⁻¹.[4 marks]

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