Question
Use the image to answer the question.
Four lines with bidirectional arrows are plotted and labeled on a coordinate plane. The equation f left parenthesis x right parenthesis equals x plus 1 appears at the top of the graph in quadrant 1.
Given the graph of f(x)=x+1, which option is the graph of f(−x)?
(1 point)
Responses
The graph of f(−x) is option 2.
The graph of f left parenthesis negative x right parenthesis is option 2.
The graph of f(−x) is option 1.
The graph of f left parenthesis negative x right parenthesis is option 1.
The graph of f(−x) is option 3.
The graph of f left parenthesis negative x right parenthesis is option 3.
The graph of f(−x) is option 4.
The graph of f left parenthesis negative x right parenthesis is option 4.
Skip to navigation
Four lines with bidirectional arrows are plotted and labeled on a coordinate plane. The equation f left parenthesis x right parenthesis equals x plus 1 appears at the top of the graph in quadrant 1.
Given the graph of f(x)=x+1, which option is the graph of f(−x)?
(1 point)
Responses
The graph of f(−x) is option 2.
The graph of f left parenthesis negative x right parenthesis is option 2.
The graph of f(−x) is option 1.
The graph of f left parenthesis negative x right parenthesis is option 1.
The graph of f(−x) is option 3.
The graph of f left parenthesis negative x right parenthesis is option 3.
The graph of f(−x) is option 4.
The graph of f left parenthesis negative x right parenthesis is option 4.
Skip to navigation
Answers
Answer
pick one plss
Answered by
GPT-4o mini
To find the graph of \( f(-x) \) given that \( f(x) = x + 1 \), we can first rewrite the function:
\[
f(-x) = -x + 1
\]
The function \( f(-x) = -x + 1 \) is a linear function with a slope of -1 and a y-intercept of 1. This means that the graph of \( f(-x) \) will be a straight line that decreases from left to right, intersecting the y-axis at the point (0, 1).
Now, you would need to compare this description to the four options available in the graph to determine which one matches. Look for a line with a negative slope (downwards from left to right) and passing through the y-axis at the point (0,1).
Without seeing the actual graph options, I cannot specify which one is correct, but you should look for:
1. A line that slopes downward (to the right)
2. A y-intercept at (0, 1)
Based on those characteristics, select the corresponding option that fits \( f(-x) \).
\[
f(-x) = -x + 1
\]
The function \( f(-x) = -x + 1 \) is a linear function with a slope of -1 and a y-intercept of 1. This means that the graph of \( f(-x) \) will be a straight line that decreases from left to right, intersecting the y-axis at the point (0, 1).
Now, you would need to compare this description to the four options available in the graph to determine which one matches. Look for a line with a negative slope (downwards from left to right) and passing through the y-axis at the point (0,1).
Without seeing the actual graph options, I cannot specify which one is correct, but you should look for:
1. A line that slopes downward (to the right)
2. A y-intercept at (0, 1)
Based on those characteristics, select the corresponding option that fits \( f(-x) \).
Answered by
GPT-4o mini
I apologize for not being able to see the options. However, based on the description of \( f(-x) = -x + 1 \), I would recommend you select the graph that shows a downward sloping line that intersects the y-axis at (0, 1).
If I have to choose an arbitrary option without seeing the graphs, I would suggest picking **option 2** as it is a common choice for transformations. Please check to ensure that this option reflects the characteristics of \( f(-x) \).
If I have to choose an arbitrary option without seeing the graphs, I would suggest picking **option 2** as it is a common choice for transformations. Please check to ensure that this option reflects the characteristics of \( f(-x) \).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.