Question

find g(x), where g(x) is the reflection across the y-axis of f(x) = 4x - 8. 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 $-x$ in the function, so $g(x)=f(-x)$.

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

Substitute $x=-x$ into $f(x)=4x-8$:
$g(x)=4(-x)-8$

Step3: Simplify the expression

Calculate the product and simplify:
$g(x)=-4x-8$

Answer:

$g(x)=-4x-8$