How to rewrite a function by shifting its graph
In short: Discover the mathematical logic behind moving functions across a coordinate plane. This tutorial demonstrates how to derive new formulas for a function g based on the transformations applied to an original function f.
The video features Sal analyzing two specific cases where functions f and g are presented graphically. He demonstrates how to express the transformed function g both in terms of the original function f and in terms of the variable x.
While the lesson focuses on the mechanics of shifting functions, it also provides historical context, noting that the term 'algebra' shares Arabic origins with words like 'algorithm' and 'Aladdin'.
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Sources
- Summary by Intellect · source: Shifting functions | Mathematics III | High School Math | Khan Academy
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