IP2U4 Exercise Q15

IP2U4 Exercise Q15

The diagram shows part of the graph of \(y={{x}^{2}}+px+q\), where \(p\) and \(q\) are integers.

  1. Find the values of \(p\) and \(q\).
  2. The point \(P\left( -3,k \right)\) lies on the curve. Find the value of \(k\).
  3. Find the coordinates of the minimum point.

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Answer:(a) \(p=10\), \(q=24\) (b) \(k=3\) (c) Minimum point \((-5,-1)\)

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