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Use the image to answer the question. and it better be right there answer is not 1, 2, 3

An parabola is drawn on a coordinate plane. Both axes range from negative 5 to 5 in one-unit increments.

Given the graph of the function f(x)
, complete the following table of the points for the horizontally reflected function f(−x)
.

(2 points)
x −1
−2
−3
f(−x)

1 answer

To find the values of f(−x) for the given x-values, we need to consider the function f(x) and how it behaves when we horizontally reflect it across the y-axis to get f(−x).

Let's assume you have the values for f(x) plotted for specific x values. To fill in the table for f(−x):

  1. For x = −1, find f(−(−1)) = f(1).
  2. For x = −2, find f(−(−2)) = f(2).
  3. For x = −3, find f(−(−3)) = f(3).

You would take the values of f at positive x-coordinates and place them opposite to the negative coordinates as follows:

  • f(−1) corresponds to f(1)
  • f(−2) corresponds to f(2)
  • f(−3) corresponds to f(3)

Since I do not have the image to refer to find the exact values of f(1), f(2), and f(3), please substitute the proper values from your graph into the corresponding slots for f(−x).

The completed table should be:

| x | f(−x) | | --- | ----- | | −1 | f(1) | | −2 | f(2) | | −3 | f(3) |

Fill in the f(1), f(2), and f(3) with the values you derive from your graph for the correct completion.