Question

Use the image to answer the 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.
▼Click for Long Desc
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)

This table shows values of x and -f(x).
x | −f(x)
2 | 0
3 | −1
6 | −2

This table shows values of x and -f(x).
x | −f(x)
2 | 0
3 | 1
6 | 2

This table shows values of x and -f(x).
x | −f(x)
−2 | 0
−3 | −1
−6 | −2

This table shows values of x and -f(x).
x | −f(x)
−2 | 0
−3 | 1
−6 | 2

Answer 1

The first table.

Explanation: y = −f(x) negates the y-values, so (2,0) → (2,0), (3,1) → (3,−1), (6,2) → (6,−2), which matches the first table.