Question

The fujavascript:void(0)nction 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

Answer 1

If r_x-axis denotes reflection across the x-axis, then g(x) = -f(x).

So for f(x) = −2x + 1,
g(x) = −(−2x + 1) = 2x − 1.

(Explanation: reflecting across the x-axis negates the y-values: y → −y.)