Question

The function f(x)=−2x+1
𝑓
(
𝑥
)
=
−
2
𝑥
+
1
is linear. Select the function g(x)
𝑔
(
𝑥
)
based on the rule rx−axis
𝑟
𝑥
−
𝑎
𝑥
𝑖
𝑠
.(1 point)
Responses

g(x)=−2x−1
𝑔
(
𝑥
)
=
−
2
𝑥
−
1

g left parenthesis x right parenthesis equals negative 2 x minus 1

g(x)=2x+1
𝑔
(
𝑥
)
=
2
𝑥
+
1

g left parenthesis x right parenthesis equals 2 x plus 1

g(x)=−(2x−1)
𝑔
(
𝑥
)
=
−
(
2
𝑥
−
1
)

g left parenthesis x right parenthesis equals negative left parenthesis 2 x minus 1 right parenthesis

g(x)=2x−1

Answer 1

g(x) = 2x − 1

Reason: Reflecting f across the x-axis gives g(x) = −f(x) = −(−2x + 1) = 2x − 1.