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

Question

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)
Answer correctly

Answer 1

To find the values of the function \( f(-x) \) from the function \( f(x) \), you need to substitute \(-x\) into the function for each given \( x \) value.

Assuming we need to know the corresponding values of \( f(-x) \) for the specified \( x \) values of \(-1\), \(-2\), and \(-3\), follow these steps:

1. For \( x = -1 \):

   • Find \( f(-(-1)) = f(1) \).

2. For \( x = -2 \):

   • Find \( f(-(-2)) = f(2) \).

3. For \( x = -3 \):

   • Find \( f(-(-3)) = f(3) \).

If you know the values of \( f(1) \), \( f(2) \), and \( f(3) \) from the graph, you can directly fill in the table. Here’s an example of what the table might look like if we had hypothetical values (replace these with actual values from your graph):

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

Make sure to look at the graph of \( f(x) \) to find the actual function values for \( f(1) \), \( f(2) \), and \( f(3) \).