Question

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

(2 points)
x −1
−
1
−2
−
2
−3
−
3
f(−x)
𝑓
(
−
𝑥
)

Answer 1

To complete the table for the horizontally reflected function \( f(-x) \), you need to know the values of the original function \( f(x) \) at the corresponding negative inputs.

The value of \( f(-x) \) is found by substituting \( -x \) into the function. That means for each value of \( x \) given in your table, you’ll find the corresponding \( f(-x) \) value using the function \( f(x) \):

- When \( x = -1 \), you need to find \( f(1) \).
- When \( x = -2 \), you need to find \( f(2) \).
- When \( x = -3 \), you need to find \( f(3) \).

If you provide the specific values for \( f(x) \) at \( x = 1, 2, 3 \), I can help you fill in the table with the appropriate values for \( f(-x) \). Please provide those or give additional information about the function \( f(x) \).