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4 marksCompleting the Square

CSEC Mathematics · May/June 2005 · Paper 2 · Question 9(a)

Write 5x² + 2x - 7 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. 9(b)(i)Hence, or otherwise, determine the minimum value of the function y = 5x² + 2x - 7.[3 marks]
  2. 9(b)(ii)Hence, or otherwise, determine the value of x at which the minimum occurs.[1 mark]
  3. 9(c)Find the values of x for which 5x² + 2x - 7 = 0.[3 marks]
  4. 9(d)(i)Sketch the graph of y = 5x² + 2x - 7, clearly showing the coordinates of the minimum point.[5 marks]
  5. 9(d)(ii)Sketch the graph of y = 5x² + 2x - 7, clearly showing the value of the y-intercept.[1 mark]
  6. 9(d)(iii)Sketch the graph of y = 5x² + 2x - 7, clearly showing the points where the graph cuts the x-axis.[1 mark]

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