Stretching and Shrinking of Functions
In this lesson, we learn about stretching and shrinking of functions. Rigid transformations, such as translations and reflections, do not affect the shape or size of the graph. Non-rigid transformations, however, involve stretching and shrinking the graph through multiplying or dividing the function by a constant. When the constant is greater than 1, it results in a vertical stretch or horizontal shrink, while a constant between 0 and 1 results in a vertical shrink or horizontal stretch. Understanding these concepts is crucial to finding the equation of a function.
Overview of functions stretching and shrinking
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.
- What happens to the image in a ridged transformation?
- Name two transformations that are ridged.
- What would (4,2)in f(x) become in 2f(x)?
- What would (4,2) in f(x) become in 1/2f(x)?
- What would (4,2) in f(x) become in f(2x)?
- What would (4,2) in f(x) become in f((1/2)x)?
-
Staff Review
It would be clearer to understand if at least one coordinate example was given. Eg:(1,2) in f(x) becomes ( ) in 2f(x),1/2f(x),f(2x)and f((1/2)x)
