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Learning objective

Identify, draw, and understand the graphs of these types of functions: (a) linear (b) quadratic. You need to know about symmetry and roots, but turning points are not necessary to understand.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Algebra and graphs

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Quick explanation

Identify, draw, and understand the graphs of these types of functions: (a) linear (b) quadratic. You need to know about symmetry and roots, but turning points are not necessary to understand

  • This point belongs to Sketching curves, especially Sketching curves outcomes.
  • You need to be able to identify, draw, and understand the graphs of these types of functions: (a) linear (b) quadratic. You need to know about symmetry and roots, but turning points are not necessary to understand.
  • The key ideas to know are Sketch, Show, and Describe.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

SketchShowDescribeState

Why it matters

This objective helps connect Sketching curves outcomes to exam-style questions, flashcards, and revision notes for Sketching curves.

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Flashcards10 linked cards

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Practice Questions7 linked questions

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Paper 2 structured question: Sketching curves

Paper 2Core or Extended Mathematics3 marks

Description

Graph of a Quadratic Function

The quadratic function is given by f(x) = x² - 4. Identify the roots and sketch the graph.

  1. a

    Sketch the graph of the function f(x) = x² - 4.

    Aim for approximately 3 distinct marking points.

    [3]
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