y=f(x)+3
y=f(x)-2
y=f(x+3)
y=f(x-1)
y=2f(x)
y=½f(x)
y=f(2x)
y=f(½x)
y=-f(x)
y=f(-x)
y=3f(x+2)
y=-f(3x)
y=2f(x-3)
y=-f(x+3)-2
y=3f(x-2)+1
y=f(2x+1)
Choose a transformation by clicking one of the buttons above. You can then sketch using your mouse (or finger/stylus if using a touch-sensitive screen) what you think the transformed graph will look like. Click the 'Show transformation' to see how close your sketch is to the computer generated version.
Find the equations which will produce the given patterns of graphs.
The short web address is:
Transum.org/go/?Num=618
This spectacular magic trick never fails to amaze people of all ages assuming they can add and subtract very simple numbers. The mathematics comes in finding out how the trick works.
The best tool on the Transum website for quickly producing graphs is the Graph Plotter:
Many other visual aids for the Maths teacher are available on this website. There are also an ever increasing number of interactive exercises for students. Browse the collection from the menu at Transum Mathematics.
Estimate (do not measure) the distance from A to B on the image of the surface of the moon then analyse your results. So far this activity has been accessed 335 times and 10 Transum Trophies have been awarded for completing it.
"I never trust people with graph paper. I always think they are plotting something!"
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