Question

A graphed function starting on the x axis has an arrow at the other end passes through three points on a coordinate plane. The x-axis ranges from negative 9 to 9 in unit increments and the y-axis ranges from negative 11 to 11 in unit increments.
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The equation of the function is f left parenthesis x right parenthesis equals start square root x minus 2 end square root. The coordinates of the plotted points are labeled as follows: left parenthesis 2 comma 0 right parenthesis, left parenthesis 3 comma 1 right parenthesis, and left parenthesis 6 comma 2 right parenthesis.

Which table shows that y=−f(x)
results in a reflection over the x-axis?

(1 point)
Responses

This table shows values of x and -f(x).
x −f(x)

2 0
3 1
6 2
Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'negative f times x' Row 2: Column 1, '2'; Column 2, '0' Row 3: Column 1, '3'; Column 2, '1' Row 4: Column 1, '6'; Column 2, '2'

This table shows values of x and -f(x).
x −f(x)

2 0
3 −1

6 −2

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'negative f times x' Row 2: Column 1, '2'; Column 2, '0' Row 3: Column 1, '3'; Column 2, 'negative 1' Row 4: Column 1, '6'; Column 2, 'negative 2'

This table shows values of x and -f(x).
x −f(x)

−2
0
−3
−1

−6
−2

Table with 2 columns and 4 rows.Row 1: Column 1, 'x'; Column 2, 'negative f times x' Row 2: Column 1, 'negative 2'; Column 2, '0' Row 3: Column 1, 'negative 3'; Column 2, 'negative 1' Row 4: Column 1, 'negative 6'; Column 2, 'negative 2'

This table shows values of x and -f(x).
x −f(x)

−2
0
−3
1
−6
2

Answer 1

The second table. For the original points f(2)=0, f(3)=1, f(6)=2, we get −f(2)=0, −f(3)=−1, −f(6)=−2, so the table with (2,0), (3,−1), (6,−2) shows the reflection over the x-axis.