2024 IGCSE Additional Mathematics October/November 0606/21 Q9

2024 IGCSE Additional Mathematics October/November 0606/21 Q9

6 marks

A curve has equation \(y=x^2-8x+c\), where \(c\) is a constant.

  1. Find the value of \(c\) in each of the following cases.
    1. The curve crosses the \(x\)-axis at \(x=2\).[1]
    2. The minimum value of \(y\) is \(3\).[3]
  2. Find the range of values of \(c\) for which \(y\) is always greater than \(0\).[2]

Solution:

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Answer:(a)(i) \(12\); (ii) \(19\). (b) \(c>16\).

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