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This 2-day lesson includes 6 pages of guided notes, a 2-page assignment, a 3-page assignment, and a Function Transformations Graphic Organizer
* The main goal for this lesson is to get students to understand that something such as “f(x+3)” is not just some notation we came up with, but that it actually creates a graph that "shifts f(x) left 3 units" and so on. They do not need to have any prior knowledge of polynomial, cubic, or radical functions.
Students learn about function transformations in the order below. They will:
- Discover the transformations f(x) + 2, f(x + 3), -f(x), and f(-x) by making tables
- Translate verbal transformations into f(x) notation
- Learn the difference between vertical and horizontal stretching and compressing
- On day two, describe transformations verbally based off of absolute value functions, and write the actual function and the function in terms of f(x)
- Given a piecewise shape (no piecewise experience required), graph intuitively f(x – 2) – 5, 2f(x), 1/2f(x), -f(x), and f(-x)
* Graphing Absolute Value Functions
helps lead into this lesson.
Answer key is included!