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3 marksCompleting the Square

CSEC Mathematics · January 2009 · Paper 2 · Question 9(b)(i)

Express the function f(x) = 2x² - 4x - 13 in the form f(x) = a(x + h)² + k.

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Other parts of this question

  1. 9(a)Make t the subject of the formula P/2 = sqrt((t+r)/g).[3 marks]
  2. 9(b)(ii)Hence, or otherwise, determine the values of x at which the graph cuts the x-axis.[4 marks]
  3. 9(b)(iii)Hence, or otherwise, determine the interval for which f(x) ≤ 0.[2 marks]
  4. 9(b)(iv)Hence, or otherwise, determine the minimum value of f(x).[1 mark]
  5. 9(b)(v)Hence, or otherwise, determine the value of x at which f(x) is a minimum.[2 marks]

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