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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.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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