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…

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)?\no g(x)=3^{x - 6}\no g(x)=3^{x + 6}\no g(x)=3^x - 6\no 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)?\no g(x)=3^{x - 6}\no g(x)=3^{x + 6}\no g(x)=3^x - 6\no 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 the function and translation amount

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

Step3: Find the new - function

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

Answer:

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