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Completing the square

Completing the square

Sketch the graph of \(y={{x}^{2}}-3x-10\), indicate clearly the turning point and cutting point(s) on the axes.

Hence, find

  1. the maximum or minimum point of the function and the value of \(x\) where it occurs,
  2. the equation of the line of symmetry of the graph.

Solution:

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Answer:Intercepts: \((-2,0)\), \((5,0)\), \((0,-10)\) (i) Minimum point \(\left(\dfrac32,-\dfrac{49}{4}\right)\) at \(x=\dfrac32\) (ii) \(x=\dfrac32\)

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