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

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

Answer: The table with x = 2, 3, 6 and −f(x) = 0, 1, 2.

Reason: Reflecting over the x‑axis negates the y‑values. If the original f(x) at x=2,3,6 was 0, −1, −2, then −f(x) is 0, 1, 2 (the fourth table).