Question

find g(x), where g(x) is the reflection across the y-axis of f(x) = -8x - 1. write your answer in the form mx + b, where m and b are integers. g(x) = submit

Explanation:

Step1: Recall y-axis reflection rule

To reflect a function $f(x)$ across the y-axis, replace $x$ with $-x$ to get $g(x)=f(-x)$.

Step2: Substitute $-x$ into $f(x)$

$$\begin{align*} g(x)&=f(-x)\\ &=-8(-x)-1 \end{align*}$$

Step3: Simplify the expression

$$ g(x)=8x-1 $$

Answer:

$g(x)=8x-1$