Question

Use the image to answer the question.

A parabola is drawn on a coordinate plane. Both axes range from negative 5 to 5 in one-unit increments.
▼Click for Long Desc
The parabola descends and then rises in quadrant 2. The curve starts passes through left parenthesis negative 3.6 comma 5 right parenthesis, left parenthesis negative 3 comma 2 right parenthesis, has a valley at left parenthesis negative 2 comma 0 right parenthesis, rises through left parenthesis negative 1 comma 2 right parenthesis, and left parenthesis negative 0.4 comma 5 right parenthesis. All values are approximate.

The original graph of the function y=f(x)
is shown. Select the table that represents y=f(−x)
.

(1 point)
Responses

This table shows the relationship between x and the function f(-x).
x f(−x)

−1
2
−2
0
−3
2
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'f of negative x' Row 2: Column 1, 'negative 1'; Column 2, '2' Row 3: Column 1, 'negative 2'; Column 2, '0' Row 4: Column 1, 'negative 3'; Column 2, '2'

This table shows the relationship between x and the function f(-x).
x f(−x)

1 −2

2 0
3 −2

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'f of negative x' Row 2: Column 1, '1'; Column 2, 'negative 2' Row 3: Column 1, '2'; Column 2, '0' Row 4: Column 1, '3'; Column 2, 'negative 2'

This table shows the relationship between x and the function f(-x).
x f(−x)

1 2
2 0
3 2
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'f of negative x' Row 2: Column 1, '1'; Column 2, '2' Row 3: Column 1, '2'; Column 2, '0' Row 4: Column 1, '3'; Column 2, '2'

This table shows the relationship between x and the function f(-x).
x f(−x)

−1
−2

−2
0
−3
−2

Answer 1

Answer: The table with x = 1, 2, 3 and f(−x) = 2, 0, 2.

Reason: f(−x) at x = 1 is f(−1) = 2; at x = 2 is f(−2) = 0; at x = 3 is f(−3) = 2 (from the original graph).