Question
What is the effect on the graph of f(x)=x−−√3
when f(x)
is replaced by f(2x)
?(1 point)
Responses
The graph compresses horizontally by a factor of 2.
The graph compresses horizontally by a factor of 2.
The graph compresses vertically by a factor of 2.
The graph compresses vertically by a factor of 2.
The graph stretches vertically by a factor of 2.
The graph stretches vertically by a factor of 2.
The graph stretches horizontally by a factor of 2.
when f(x)
is replaced by f(2x)
?(1 point)
Responses
The graph compresses horizontally by a factor of 2.
The graph compresses horizontally by a factor of 2.
The graph compresses vertically by a factor of 2.
The graph compresses vertically by a factor of 2.
The graph stretches vertically by a factor of 2.
The graph stretches vertically by a factor of 2.
The graph stretches horizontally by a factor of 2.
Answers
GPT-4o mini
When you replace \( f(x) \) with \( f(2x) \), the effect is a horizontal compression of the graph by a factor of 2.
This is because the input value \( x \) must be twice as large for \( f(2x) \) to reach the same output as \( f(x) \).
Therefore, the correct response is:
**The graph compresses horizontally by a factor of 2.**
This is because the input value \( x \) must be twice as large for \( f(2x) \) to reach the same output as \( f(x) \).
Therefore, the correct response is:
**The graph compresses horizontally by a factor of 2.**