Linear Transformations Part 2
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Part of video series
Lesson Description:
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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Additional Resources:
- 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.
Questions answered by this video:
- 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?
- What happens to the graph when you multiply a number by the function f(x) = x^2?
- What does the graph f(x) = ax^2 look like?
- How do you flip a function over the x-axis?
- What happens as you change the value of a in f(x) = ax^2?
- What happens as you change the value of b in f(x) = (bx)^2?
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Staff Review
This lesson shows more transformations of f(x) = x^2. The concepts of scaling and flipping functions are explained in this lesson, 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.
