Question

find g(x), where g(x) is the translation 5 units right of f(x) = x². write your answer in the form a(x - h)² + k, where a, h, and k are integers. g(x) =

Explanation:

Step1: Recall horizontal translation rule

For a right shift by $h$ units, $g(x)=f(x-h)$.

Step2: Substitute $f(x)=x^2$ and $h=5$

$g(x)=(x-5)^2$

Step3: Rewrite in vertex form

$g(x)=1(x-5)^2+0$

Answer:

$g(x) = 1(x - 5)^2 + 0$