Question

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.

Because y = −f(x) flips the y-values, the points become (2, 0), (3, −1), (6, −2), which matches the first table.