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3 marksCompleting the Square

CSEC Additional Mathematics · 2018 · Paper 2 · Question 2(a)(i)

A function g(x) = -x^2 + x - 3 is given.

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

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Other parts of this question

  1. 2(a)(ii)On the grid provided below, sketch the graph of g(x), showing the maximum point and the y-intercept.[3 marks]
  2. 2(b)Determine the sum of the first four terms.[4 marks]
  3. 2(c)Determine the value of 1/alpha^2 + 1/beta^2.[4 marks]

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