Question

find $g(x)$, where $g(x)$ is the translation 1 unit right of $f(x)=-4x - 5$. write your answer in the form $mx + b$, where $m$ and $b$ are integers. $g(x)=$

Explanation:

Step1: Recall translation rule

For a function $y = f(x)$, a translation 1 unit to the right gives $y = f(x - 1)$.

Step2: Substitute $x-1$ into $f(x)$

Given $f(x)=-4x - 5$, then $g(x)=f(x - 1)=-4(x - 1)-5$.

Step3: Expand and simplify

$g(x)=-4x+4 - 5=-4x - 1$.

Answer:

$-4x - 1$