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3 marksGraphs of Linear Functions

CSEC Mathematics · January 2017 · Paper 2 · Question 9(b)(iv)

A diagram shows the graph of the function f(x) = x² - 6x + 8 for values of x from 0 to 6.

On the same axes, draw the graph of the straight line g(x) = x - 2.

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Other parts of this question

  1. 9(a)(i)Express y in terms of x and a constant k.[1 mark]
  2. 9(a)(ii)Calculate the value of the constant k.[1 mark]
  3. 9(a)(iii)Determine the values of a and b.[2 marks]
  4. 9(b)(i)Use the graph to solve the equation x² - 6x + 8 = 0.[2 marks]
  5. 9(b)(ii)Write down the coordinates of the minimum point in the form (x, y).[1 mark]
  6. 9(b)(iii)Write x² - 6x + 8 in the form a(x + h)² + k where a, h and k are constants.[3 marks]
  7. 9(b)(v)Hence, solve the equation x² - 6x + 8 = x - 2.[2 marks]

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