how does the graph of $g(x)=3^{x}-2$ compare to the graph of $f(x)=3^{x}$?\nthe graph of $g(x)$ is a…

how does the graph of $g(x)=3^{x}-2$ compare to the graph of $f(x)=3^{x}$?\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units left.\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units right.\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units up.\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units down.

how does the graph of $g(x)=3^{x}-2$ compare to the graph of $f(x)=3^{x}$?\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units left.\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units right.\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units up.\nthe graph of $g(x)$ is a translation of $f(x)$ 2 units down.

Answer

Brief Explanations:

For a function $y = f(x)+k$, when $k<0$, the graph of $y = f(x)$ is translated $|k|$ units down. Here $g(x)=f(x)- 2$, so the graph of $g(x)$ is a translation of the graph of $f(x)$ 2 units down.

Answer:

The graph of $g(x)$ is a translation of $f(x)$ 2 units down.