 # Reflective Transformation

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Examples, solutions, videos, worksheets, games and activities to help PreCalculus students learn about graph transformations about the x-axis and y-axis or reflective transformations.

How to graph reflections across the x-axis and y-axis?

Reflect at the x-axis: y = -f(x)
Reflect at the y-axis: y = f(-x)

Graph Transformations about the x-axis and y-axis
This videos discusses reflections around the x-axis and y-axis.
Graphing the Transformation y = f(−x), Reflective Transformation
There are different types of transformations and their graphs, one of which is a math reflection across the y-axis. If we get the same function from a math reflection, it is a symmetrical function, specifically even. A math reflection flips a graph over the y-axis, and is of the form y = f(-x). Other important transformations include vertical shifts, horizontal shifts and horizontal compression. This video explains how to graph reflections across the x-axis and y-axis in the form a×f(b(x-c))+d. This video looks at how the sign of a and b affect the graph of f(x).

This video demonstrates how to reflect a given graph or relationship of the form y = f(x) by considering the outcome of applying the following transformations −f(x) and f(−x)
This video demonstrates why y = − f(x) reflects a graph in the x-axis and why y = f(− x) reflects a graph in the y-axis.

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