find g(x), where g(x) is the translation 2 units up of f(x) = x. write your answer in the form mx + b, where…
find g(x), where g(x) is the translation 2 units up of f(x) = x. write your answer in the form mx + b, where m and b are integers. g(x) =
Answer
Explanation:
Step1: Recall translation rule
For a vertical translation of a function $y = f(x)$ up by $k$ units, the new function is $y=f(x)+k$. Here $f(x)=x$ and $k = 2$.
Step2: Find $g(x)$
$g(x)=f(x)+2$. Substituting $f(x)=x$ into the equation, we get $g(x)=x + 2$.
Answer:
$g(x)=x + 2$