Quelpr
3 marksCompleting the Square

CSEC Mathematics · May/June 2009 · Paper 2 · Question 9(b)

Express 2x² - 3x + 1 in the form a(x + h)² + k, where a, h and k are real numbers.

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 = 4 - 2x and y = 2x² - 3x + 1.[4 marks]
  2. 9(c)(i)Using your answer from (b) above, or otherwise, calculate the minimum value of 2x² - 3x + 1.[1 mark]
  3. 9(c)(ii)Using your answer from (b) above, or otherwise, calculate the value of x for which the minimum occurs.[1 mark]
  4. 9(d)Sketch the graph of y = 2x² - 3x + 1, clearly showing the coordinates of the minimum point, the value of the y-intercept, and the values of x where the graph…[4 marks]
  5. 9(e)Sketch on your graph of y = 2x² - 3x + 1, the line which intersects the curve at the values of x and y calculated in (a) above.[2 marks]

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