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Describing Transformations of Linear Functions

Describing Transformations of Linear Functions 1.12 - Solution

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We are given the graphs of and on a coordinate plane, and want to describe the transformation from the graph of to the graph of Let's find some corresponding points in the graphs and measure the distance between each point and the -axis.

Since corresponding points are at the same distance from the -axis the graph of is a reflection in the -axis of the graph of We can also see this using the function rules. We see that the function can be written on the form This changes the sign of the -coordinate which is the same as reflecting in the -axis.