Reflections of Functions

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Taught by mrbrianmclogan
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Meets NCTM Standards:
Lesson Summary:

In this lesson on reflections of functions, the instructor provides an overview of how to find reflections and ties together the concepts of vertical and horizontal shifts. They explain that multiplying a function by negative one results in a reflection about the x-axis and changing the input of a function to negative results in a reflection about the y-axis. The instructor emphasizes the importance of understanding the difference between these two types of reflections and how to identify them.

Lesson Description:

Overview transformations reflections

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Questions answered by this video:
  • What happens to the y-coordinate in -f(x)?
  • What will (4,2) in f(x) be in -f(x)?
  • What will (4,2) in f(x) be in f(-x)?
  • In which graph would the transformation -f(x)=f(-x)?