Question
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Consider the function .
Describe what happens (what type of stretch or
compression) to the graph
Enter as follows by choosing correct transformation using b
or b factors (do not enter the quotes) :
A “vertical stretch/vertical compression/horizontal
stretch/horizontal compression (pick one of these only!)” by
a factor of “enter correct numerical factor”

Ask by Lindsey Byrd. in the United States
Mar 28,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

A vertical compression by a factor of 1/5

Solution

  1. The transformation given is .
  2. Multiplying the function by scales the output (the -values) by the factor .
  3. Since is less than 1, the graph is compressed vertically.
A vertical compression by a factor of 1/5

Answered by UpStudy AI and reviewed by a Professional Tutor

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Beyond the Answer

The graph of experiences a vertical compression by a factor of 5. This means that every point on the graph of is pulled closer to the x-axis, making it shorter and flatter.
In transformation terms, this is a change where the output values (the y-values) are scaled down, making everything appear more compressed vertically. If had peaks or troughs, they would be less pronounced in this new transformation.

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