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 of the options is the graph of −f(x)
?

(1 point)
Responses

Option 3
Option 3

Option 4
Option 4

Option 2
Option 2

Option 1

1 answer

To find the graph of f(x), we first need to understand that f(x) is the reflection of f(x) across the x-axis.

The given function is f(x)=x+1, which is a straight line with a slope of 1 that intersects the y-axis at (0, 1).

To find f(x):

f(x)=(x+1)=x1

This means that the new line will have a slope of -1 and will intersect the y-axis at (0, -1).

Now, we can determine which option reflects this transformation.

  1. Look for a line with a negative slope (downward slope) that crosses the y-axis at (0, -1).
  2. Given that I don't have access to the options directly, compare the properties of the options provided.

In summary:

  • The line representing f(x) will slope downwards from left to right and intersect the y-axis at (0, -1). Make sure to choose the option that meets these criteria. If you have images or descriptions of the options, you can identify the correct one based on these observations.
Similar Questions
  1. Use the image to answer the question.Four lines each has option 1 2 3 4 with bidirectional arrows are plotted and labeled on a
    1. answers icon 1 answer
  2. Use the image to answer the question.Four lines with bidirectional arrows are plotted and labeled on a coordinate plane. The
    1. answers icon 1 answer
  3. Use the image to answer the question.Four lines with bidirectional arrows are plotted and labeled on a coordinate plane. The
    1. answers icon 1 answer
  4. Use the image to answer the question.Four lines with bidirectional arrows are plotted and labeled on a coordinate plane. The
    1. answers icon 1 answer
more similar questions