In this lesson on linear transformations, students learn how to use scaling, flipping, and translating to transform a base function like x-squared. Linear transformations allow students to move a function up and down, left and right, and adjust the width of the function, giving them the ability to fit a quadratic model more accurately. Adding a value to the outside of a function translates it up or down, while adding or subtracting something to the input side moves a function left or right. These translations are part of a linear transformation, which students can use to generate a whole set of possible functions.
Understand algebraically, graphically and verbally linear transformations of both the input and output of functions and how a base function can be linearly transformed to generate the whole set of possible functions of that type.
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