Question
Describe the transformation from
to
. 1 point
horizontal stretch by a factor of 0.25
horizontal compression by a factor of 4
horizontal stretch by a factor of 4
horizontal compression by a factor of 0.25
horizontal stretch by a factor of 0.25
horizontal compression by a factor of 4
horizontal stretch by a factor of 4
horizontal compression by a factor of 0.25
Ask by Greene Mckenzie. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The transformation is a horizontal stretch by a factor of 4.
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Bonus Knowledge
The transformation from
to
involves a horizontal compression by a factor of 4. This is because when you input
into the function, it effectively speeds up how quickly the graph reaches its values compared to the original function. So, for every unit increase in
,
increases faster than
.
In simpler terms, you can think of it like this: by replacing
with
, you are really saying that the function will achieve the same output values much quicker, hence, making the graph “squeeze” towards the y-axis. It’s like hugging your friends tighter at a group photo!