OCR MEI C1 — Question 9

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
TopicQuadratic Functions

9 The graph shows the function \(y = x ^ { 2 } + b x + c\) where \(b\) and \(c\) are constants.
The point \(\mathrm { M } ( - 3 , - 16 )\) on the graph is the minimum point of the graph.
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  1. Write down the function \(y = \mathrm { f } ( x )\) in completed square form.
  2. Hence find the coordinates of the points where the curve cuts the axes.