select the correct answer.\nconsider the function (f(x)=10^{x}) and the function (g(x)), which is shown…

select the correct answer.\nconsider the function (f(x)=10^{x}) and the function (g(x)), which is shown below. how will the graph of (g(x)) differ from the graph of (f(x))?\n(g(x)=f(x - 6)=10^{(x - 6)})\na. the graph of (g(x)) is the graph of (f(x)) shifted to the left 6 units.\nb. the graph of (g(x)) is the graph of (f(x)) shifted to the right 6 units.\nc. the graph of (g(x)) is the graph of (f(x)) shifted 6 units down.\nd. the graph of (g(x)) is the graph of (f(x)) shifted 6 units up.

select the correct answer.\nconsider the function (f(x)=10^{x}) and the function (g(x)), which is shown below. how will the graph of (g(x)) differ from the graph of (f(x))?\n(g(x)=f(x - 6)=10^{(x - 6)})\na. the graph of (g(x)) is the graph of (f(x)) shifted to the left 6 units.\nb. the graph of (g(x)) is the graph of (f(x)) shifted to the right 6 units.\nc. the graph of (g(x)) is the graph of (f(x)) shifted 6 units down.\nd. the graph of (g(x)) is the graph of (f(x)) shifted 6 units up.

Answer

Explanation:

Step1: Recall transformation rule

For a function $y = f(x - h)$, the graph of $y = f(x)$ is shifted $h$ units to the right when $h>0$.

Step2: Analyze given functions

Given $f(x)=10^{x}$ and $g(x)=f(x - 6)=10^{x - 6}$. Here $h = 6>0$.

Answer:

B. The graph of $g(x)$ is the graph of $f(x)$ shifted to the right 6 units.