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Drawing Quadratic Graphs

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A quadratic graph comes from a formula with an x2x^2x2 term, such as y=x2−x−4y=x^2-x-4y=x2−x−4. Its shape is a smooth curve called a parabola, not a straight line. To draw it, you usually make a table of values first.

If the coefficient of x2x^2x2 is positive, the parabola opens upwards and has a lowest point. If the coefficient of x2x^2x2 is negative, it opens downwards and has a highest point.

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Question 1

3 marks

Here is the graph of y=4x+3−x2y = 4x + 3 - x^2y=4x+3−x2

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When substituting x=−3x = -3x=−3 into y=x2y = x^2y=x2, what is the resulting value of yyy?

Drawing Quadratic Graphs Revision Guide

  1. GCSE
  2. /Maths
  3. /Drawing Quadratic Graphs

Revision notes for Edexcel GCSE Maths Drawing Quadratic Graphs. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 5

For y=x2−x−4y=x^2-x-4y=x2−x−4, which coordinate should be plotted when x=3x=3x=3?