Question

find g(x), where g(x) is the translation 2 units up of f(x) = x². write your answer in the form a(x - h)² + k, where a, h, and k are integers. g(x) = submit

Explanation:

Step1: Recall vertical translation rule

For a function $f(x)$, translating it $k$ units up gives $f(x)+k$.

Step2: Apply rule to given function

Here, $f(x)=x^2$, $k=2$. So $g(x)=x^2 + 2$.

Step3: Match vertex form

Rewrite in $a(x-h)^2 + k$: $a=1$, $h=0$, $k=2$, so $g(x)=1(x-0)^2 + 2$.

Answer:

$1(x - 0)^2 + 2$