Quelpr
2 marksCompleting the Square

CSEC Mathematics · May/June 2011 · Paper 2 · Question 9(b)(i)

Express the function f(x) = 4x² - 8x - 2 in the form a(x + h)² + k, where a, h and k are constants.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 9(a)Solve the pair of simultaneous equations: y = x² - x + 3 and y = 6 - 3x.[5 marks]
  2. 9(b)(ii)State the minimum value of f(x).[1 mark]
  3. 9(b)(iii)State the value of x for which f(x) is a minimum.[1 mark]
  4. 9(c)(i)Calculate the value of x.[2 marks]
  5. 9(c)(ii)What is the gradient of the graph during the SECOND stage? Explain, in one sentence, what the car is doing during this stage.[2 marks]
  6. 9(c)(iii)Calculate the distance travelled by the car on the THIRD stage of the journey.[2 marks]

More practice: the rest of this paper · more Completing the Square questions · all CSEC Mathematics past papers