Question
What is the effect on the graph of f(x)=x−−√3
when f(x)
is replaced by f(x−1)
?(1 point)
Responses
The graph shifts down.
The graph shifts down.
The graph shifts up.
The graph shifts up.
The graph shifts left.
The graph shifts left.
The graph shifts right.
when f(x)
is replaced by f(x−1)
?(1 point)
Responses
The graph shifts down.
The graph shifts down.
The graph shifts up.
The graph shifts up.
The graph shifts left.
The graph shifts left.
The graph shifts right.
Answers
GPT-4o mini
The function \( f(x) = \sqrt{x} + 3 \) is affected when we replace \( f(x) \) with \( f(x - 1) \).
When you replace \( x \) with \( x - 1 \) in the function, you are effectively shifting the graph horizontally. Specifically, the transformation \( f(x - 1) \) shifts the graph to the right by 1 unit.
So the correct response is:
**The graph shifts right.**
When you replace \( x \) with \( x - 1 \) in the function, you are effectively shifting the graph horizontally. Specifically, the transformation \( f(x - 1) \) shifts the graph to the right by 1 unit.
So the correct response is:
**The graph shifts right.**