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Recognise and Interpret Quadratic Graphs

In this worksheet, students will practise identifying the significant points of quadratic graphs.

'Recognise and Interpret Quadratic Graphs' worksheet

Key stage:  KS 4

Year:  GCSE

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, OCR, Pearson Edexcel,

Curriculum topic:   Algebra, Graphs of Equations and Functions

Curriculum subtopic:   Graphs Graphs of Equations and Functions

Difficulty level:  

Worksheet Overview

Over the years, you will have dealt in quite a lot of detail with linear graphs.

This activity will look at the concept of the quadratic graph.

While you have to be able to do all sorts of things with quadratic graphs, this activity will concentrate on what they look like, identifying them and naming the significant points.


What is a quadratic graph?

A quadratic is any graph that has the highest power in the function of x2.

For example:  y = x2 – 4x + 1 is a quadratic function.

You can quite easily spot a quadratic function as it has a very specific shape.

It is a smooth curve with one turning point which means it changes direction!


a quadratic graph


The negative quadratic

Quite frequently, you are expected to be able to sort quadratics that are upside down!

If you get one of these, the key thing to remember is that the function will start with -x2 (spot that cheeky little minus sign)


a negative quadratic


The significant points of the quadratic graph

There are three types of significant points on a quadratic graph -  roots/solutions, the turning point (also called the vertex) and the y–intercept.


These can be found at the following places:


Significant points on a quadratic graph


Now it's time for some questions.

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