Question

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) =

Explanation:

Step1: Recall horizontal translation rule

For a right shift by $h$ units, replace $x$ with $x-h$ in $f(x)$.

Step2: Apply shift to $f(x)=x^2$

Substitute $x$ with $x-9$: $g(x)=(x-9)^2$

Step3: Match to $a(x-h)^2+k$ form

Here, $a=1$, $h=9$, $k=0$, so $g(x)=1(x-9)^2+0$.

Answer:

$g(x)=(x-9)^2$