Question

Use the image to answer the 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)
Remaining Attempts : 3
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Answer 1

To find the values of \( f(-x) \) based on the given values of \( x \), you need to reflect the original points of the function \( f(x) \) across the y-axis. In other words, if you have a point \( (x, f(x)) \), the corresponding point for \( f(-x) \) will be \( (-x, f(x)) \).

Here are the steps to complete the table:

1. For each given \( x \), calculate \( -x \).
2. Then find the value of \( f \) at that \( -x \).

Assuming you have access to the function or graph \( f(x) \), look up the outputs for \( -1, -2, -3 \) based on the function \( f(x) \):

- If you have the values:
- For \( x = -1 \), find \( f(1) \) (the value at \( f(x) \) when \( x = 1 \)).
- For \( x = -2 \), find \( f(2) \).
- For \( x = -3 \), find \( f(3) \).

Once you have the values of the function at those specific points, fill them in the table for \( f(-x) \).

If you provide the specific outputs of \( f(x) \) for \( x = 1, 2, 3 \), I'd be happy to help you fill in the table!