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Understanding Even, Odd, and Neither Functions Through Translations in Geometry

This lesson covers the concepts of even, odd, and neither functions, focusing on the function f(x) = x and f(x) = 2x² + 4. It reviews how to determine the nature of functions and also explores geometric translations. In geometry, translation involves moving a shape such that every point moves the same distance in the same direction. Students will learn to translate images by given points, such as (x – 8, y + 2) and (2x + 2, y – 3), and find the pre-image given a new point. Engage with classwork on transformations as functions for a deeper understanding.

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Understanding Even, Odd, and Neither Functions Through Translations in Geometry

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  1. Warm up Which one is even, odd, or neither? • f(x) = x • f(x) = 2x2 + 4 odd even neither

  2. Review Homework

  3. Daily Check

  4. Translations In geometry, “translation” simply means MOVING

  5. To translate a shape: Every point of the shape must move: The same distance In the same direction

  6. Translate the image by (x – 8, y + 2)

  7. Translate the image by (2x + 2, y – 3)

  8. Find the pre-image(x + 12, y – 17)

  9. Translate

  10. ClassworkTransformations as Functions Worksheet Classwork

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