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Graph Match

Match the graphs with their equations or descriptions. A self-marking, drag-and-drop mathematical exercise.

Gradient Level 1 Level 2 Level 3 Level 4 Exam-Style Description Help More Graph Activities

This is Level 3 (Mixed polynomials). Match the graphs with the corresponding equations.


\(y = 3-(x+3)^2\)

\(y = (x-2)^2\)

\(y = 8\)

\(y = 3-(x-3)^2\)

\(y = \frac12 x + 2\)

\(y = x^2-7\)

\(y = \frac7x\)

\(y = \frac12 (x+2)^3\)

\(y = 2x+6\)

\(y = -3\)

\(y = 4-x\)

\(y = x+ \frac13 x^3-2\)


The diagrams were created using the online Graph Plotter.

This is Graph Match level 3. You can also try:
Gradient Level 1 Level 2 Level 4 Exam-style Questions

Description of Levels



Gradient - A pre-requisite for doing the graph exercises is being able to calculate the gradient of a line.

Level 1 - Linear graphs and equations


Level 2 - Linear and quadratic graphs and equations


Level 3 - Mixed polynomials


Level 4 - Quadratics in the form \(ax^2 + bx + c\) given information about the coefficients


Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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For straight line graphs arrange the equation in the form \(y = mx + c\) where \(m\) represents the gradient of the line and \(c\) the y-intercept.

Maybe this video will remind you of some of the techniques for recognising graphs.

This video is from the ukmathsteacher YouTube channel.

The most important thing is to talk to your teacher if there is anything you don't understand about this topic.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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Featured Activity

Lemon Law

Lemon Law

A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?


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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.


If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if should go offline for whatever reason, there are mirror sites at and that contain most of the resources that are available here on

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.


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