Question

Based on the following tables, which of the following options is a true description of the graphs of f(x)
and g(x)
?

This table presents the value of a function f(x) for all the given values of x.
x
f(x)

−2
−6

0 −4

2 −2

4 0


This table presents the value of a function g(x) for all the given values of x.
x
g(x)

−2
6
0 4
2 2
4 0
Option #1: One graph is a reflection of the other over the x-axis.

Option #2: One graph is a reflection of the other over the y-axis.

Option #3: One graph is a reflection of the other about the origin.

(1 point)
Option #

Answer 1

Option #1.

For each x, g(x) = −f(x) (e.g. f(2)=−2 and g(2)=2, f(0)=−4 and g(0)=4), so g is the reflection of f across the x‑axis.