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Cambridge IGCSE Mathematics practice

exam practice - Identify, draw, and analyze graphs of various functions including linear, quadratic, cubic, reciprocal, and exponential functions. This includes understanding turning points, roots, and symmetry, as well as recognizing vertical and horizontal asymptotes. You should be able to find turning points of quadratic functions by completing the square. - Sketching curves

Try the question first, then check the answer and practise the same topic again.

Attempt questionSketching curves revisionRevise the key idea

At a glance

2

Paper

3

Marks

Topic

Sketching curves

Exam-style question

Try this first

Paper 2Core or Extended Mathematics3 marks

Analyzing the graph of a quadratic function

Description

Quadratic Function Graph

Consider the quadratic function y = x^2 - 4x + 3.

  1. a

    Calculate the coordinates of the turning point by completing the square.

    Aim for approximately 3 distinct marking points.

    [3]

0 of 1 part answered

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Maths method check

  • Topic focus: Sketching curves.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Related practice questions

Question 1 of 5

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Paper 2 structured question: Sketching curves

Paper 2Core or Extended Mathematics2 marks

Description

Reciprocal Function Graph

The function y = 1/(x - 3) is given.

  1. a

    State the equations of the vertical and horizontal asymptotes.

    Aim for approximately 2 distinct marking points.

    [2]