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3 marksCompleting the Square

CSEC Mathematics · January 2010 · Paper 2 · Question 9(b)(i)

Given the function g(x) = 3x^2 - 8x + 2.

Write g(x) in the form a(x + b)^2 + c, where a, b and c ∈ R.

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Other parts of this question

  1. 9(a)(i)Express v in terms of E and m.[3 marks]
  2. 9(a)(ii)Determine the value of v when E = 45 and m = 13.[2 marks]
  3. 9(b)(ii)Solve the equation g(x) = 0, writing your answer(s) correct to 2 decimal places.[4 marks]
  4. 9(b)(iii)a)Copy the sketch and state the y-coordinate of A.[3 marks]
  5. 9(b)(iii)b)Copy the sketch and state the x-coordinate of C.[3 marks]
  6. 9(b)(iii)c)Copy the sketch and state the x and y-coordinates of B.[3 marks]

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