find g(x), where g(x) is the translation 9 units right of f(x) = x². write your answer in the form a(x - h)²…

find g(x), where g(x) is the translation 9 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) =

find g(x), where g(x) is the translation 9 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) =

Answer

Explanation:

Step1: Recall translation rule

For a function $y = f(x)$, a translation $c$ units to the right gives $y=f(x - c)$. Here $f(x)=x^{2}$ and $c = 9$.

Step2: Substitute into rule

Substitute $x$ with $x - 9$ in $f(x)=x^{2}$. So $g(x)=(x - 9)^{2}+0$, where $a = 1$, $h=9$ and $k = 0$.

Answer:

$g(x)=(x - 9)^{2}+0$