A quadratic minimum

A quadratic minimum

Secondary 4
4 marks
TGM Original Questions

A curve has equation \(y=(x-2)^2+3\).

  1. State the turning point and the equation of the axis of symmetry.[2]
  2. Sketch the curve on the axes, showing its y-intercept and turning point.[1]
  3. Explain why the line \(y=2\) does not intersect the curve.[1]

Solution:

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Answer:(a) \((2,3)\), \(x=2\) (b) Upward curve through \((0,7)\) (c) \(y\ge3\)

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