the graph of $g(x)$ is the result of translating the graph of $f(x)=3^{x}$ six units to the right. what is…

the graph of $g(x)$ is the result of translating the graph of $f(x)=3^{x}$ six units to the right. what is the equation of $g(x)$?\n$g(x)=3^{x - 6}$\n$g(x)=3^{x+6}$\n$g(x)=3^{x}-6$\n$g(x)=3^{x}+6$

the graph of $g(x)$ is the result of translating the graph of $f(x)=3^{x}$ six units to the right. what is the equation of $g(x)$?\n$g(x)=3^{x - 6}$\n$g(x)=3^{x+6}$\n$g(x)=3^{x}-6$\n$g(x)=3^{x}+6$

Answer

Explanation:

Step1: Recall translation rule

For a function $y = f(x)$, translating it $h$ units to the right gives $y=f(x - h)$.

Step2: Identify values

Here $f(x)=3^{x}$ and $h = 6$.

Step3: Find $g(x)$

Substitute into the rule: $g(x)=3^{x - 6}$.

Answer:

$g(x)=3^{x - 6}$