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4 marksSolving Mixed Systems of Equations

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

This section covers Relations, Functions and Graphs.

Solve the pair of simultaneous equations: y = 4 - 2x and y = 2x² - 3x + 1.

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Other parts of this question

  1. 9(b)Express 2x² - 3x + 1 in the form a(x + h)² + k, where a, h and k are real numbers.[3 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]

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