Question
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”
Describe what happens (what type of stretch or
compression) to the graph
Enter as follows by choosing correct transformation using b
or
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
-
The transformation given is
. -
Multiplying the function
by scales the output (the -values) by the factor . -
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.