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Exploring transformations of graphs

This activity, from Shirley Fall, requires students to use and interpret function notation, sketch graphs using key points, explore the common transformations of translate parallel to the y axis, translate parallel to the x axis, stretch parallel to the y axis from the x axis and stretch parallel to the x axis from the y axis.

Ideally students should have access to appropriate graph plotting technology to investigate the tasks. Students are required to explore the different transformations, record their results on the sheet and use their results to generalise the effect of each transformation.

It is recommended that students begin their investigation with linear functions, quadratic functions and a reciprocal function. Extension suggestions are to work with general equations, trigonometric equations and to explore reflections in the x axis and reflections in the y axis.

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