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3 marksCompleting the Square

CSEC Additional Mathematics · 2015 · Paper 2 · Question 2(a)(i)

Given the function f(x) = 3x^2 - 9x + 4.

Express f(x) in the form a(x + b)^2 + c, where a, b and c are real numbers.

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Other parts of this question

  1. 2(a)(ii)State the coordinates of the minimum point of f(x).[1 mark]
  2. 2(b)Find the value of 1/α + 1/β.[4 marks]
  3. 2(c)Determine the coordinates of the points of intersection of the curve 2x^2 - y + 19 = 0 and the line y + 11x = 4.[3 marks]
  4. 2(d)Determine the annual salary that the employee should receive in the ninth year.[3 marks]

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