10 videos in "Transformations"

Linear Transformations Part 1

Linear Transformations Part 2

Linear Transformations Part 3

Vertical Transformations

Horizontal Shifts

Reflections of Functions

Stretching and Shrinking of Functions

Vertical and Horizontal Stretch of Functions

Quadratic Transformations

Transformations of a Square Root Function
Linear Transformations Part 1
Linear Transformations Part 1
7615 views, 2 ratings  00:09:42
Part of video series Representing realworld relationships as functions
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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.
 Notes  Notes from this lesson.
 Problem Set  A problem set from this lesson.
 Problem Set Solutions  Solutions to the problem set from this lesson.
 Graph Transformation Worksheet  A worksheet with graphs in which you must supply the equation for the graph.
 Graph Transformation Worksheet Key  Key to the graph transformation worksheet.
 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.