# Stretching and Shrinking of Functions

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Taught by mrbrianmclogan
• Currently 3.0/5 Stars.
5676 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

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.

Lesson Description:

Overview of functions stretching and shrinking

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Questions answered by this video:
• 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

• Currently 3.0/5 Stars.
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)