## Linear Transformations Part 1

Linear Transformations Part 1
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Taught by TheMathDude

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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.
• What is a linear transformation of a function?
• How do you scale, flip, or translate a base function?
• How do you do linear transformations of the function f(x) = x^2?
• How can you determine the quadratic function of a parabola from a graph that has been transformed?
• What happens when you add, subtract, multiply, and divide values to f(x) = x^2?
• What is the difference between adding numbers to the inside or outside of parentheses in a quadratic function?
This lesson shows you how to transform base functions using linear transformations. The concepts of translating, scaling, and flipping functions to fit data points are explained, and then you will learn where these transformations fit in the functional notation. The problem set and worksheet really help with practicing the skills learned in this miniseries.
• Currently 5.0/5 Stars.
Reviewed by MathVids Staff on July 24, 2010.