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Cambridge IGCSE Additional Mathematics

2.1-2.2Maximum and minimum values and quadratic graphs

Maximum and minimum values and quadratic graphs in Cambridge IGCSE Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic20 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 2.1Find the maximum or minimum value of a quadratic function by completing the square or by differentiation.
  2. 2.2Use the maximum or minimum value to sketch the graph or to find the range for a given domain.

Lessons

  • Completing the square, maximum and minimum values

    35 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Maximum and minimum values and quadratic graphs: sample question

1 mark

What is the minimum value of (x+4)2−9(x + 4)^2 - 9?

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