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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.
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3 answers

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 \( f(-x) \).

pick one plss

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 \( f(-x) \).