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'Exploring Quadratic Mappings' printed from http://nrich.maths.org/

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The mapping below was created using the NRICH Number Plumber.


Click here to watch a video explaining how to use the Number Plumber.


Click on the mapping to explore the relationship between the function and its graph.





(x-1)(x-3) mapping





Now replace the 1 and 3 with other values. How does this affect the graph?


What happens if you add instead of subtract?





Describe and explain any generalisations you make.