find g(x), where g(x) is the translation 2 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 2 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 2 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 $h$ units to the right gives $y=f(x - h)$. Here $f(x)=x^{2}$ and $h = 2$.

Step2: Substitute into formula

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

Answer:

$(x - 2)^{2}$