Lesson: Function Transformations: Dilation Mathematics • Second Year of Secondary School

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In this lesson, we will learn how to identify function transformations involving horizontal and vertical stretches or compressions.

Students will be able to

understand horizontal dilations of the function :
- corresponds to a horizontal dilation of scale factor ,
- when , the result is considered a stretch,
- when , the result is considered a compression,
understand vertical dilations of the function :
- corresponds to a vertical dilation of scale factor ,
- when , the result is considered a stretch,
- when , the result is considered a compression,
identify the resulting graph of a given graph when dilated horizontally or vertically,
sketch the graph of a given basic function when dilated horizontally or vertically,
understand how to combine a horizontal and a vertical dilation algebraically,
identify the rule of a function for which a horizontal or a vertical dilation is represented graphically,
understand that certain horizontal dilations may be equivalent to vertical dilations depending on the symmetry of the given function.