the graph of $f(x)=3^{x}$ is given below. write the equation of a function $g(x)$ which would shift the…
the graph of $f(x)=3^{x}$ is given below. write the equation of a function $g(x)$ which would shift the graph of $f(x)$ down 3 units.
Answer
Explanation:
Step1: Recall vertical - shift rule
For a function $y = f(x)$, shifting it down $k$ units gives $y=f(x)-k$.
Step2: Identify the function and $k$ value
Here $f(x)=3^{x}$ and $k = 3$. So $g(x)=3^{x}-3$.
Answer:
$g(x)=3^{x}-3$