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1 markGraphs of Quadratic Functions

CSEC Mathematics · May/June 2014 · Paper 2 · Question 6(a)(i)

The graph of the quadratic function y = x² for – 4 ≤ x ≤ 4 is shown. The coordinates of the points M and N are (−1, y) and (x, 9) respectively.

Determine the value of x.

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Other parts of this question

  1. 6(a)(ii)Determine the value of y.[1 mark]
  2. 6(b)(i)Determine the gradient of the line MN[1 mark]
  3. 6(b)(ii)Determine the equation of the line MN[2 marks]
  4. 6(b)(iii)Determine the equation of the line parallel to MN, and passing through the origin.[2 marks]
  5. 6(c)On the answer sheet provided, carefully draw the tangent line to the graph y = x² at the point (2, 4).[2 marks]
  6. 6(d)Estimate the gradient of the tangent to the curve at (2, 4).[2 marks]

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