Question

Select the correct answer. Consider the function f(x) = 10^x and function g. g(x) = f(x + 4) How will the graph of function g differ from the graph of function ?

Answer 1

We have that a function translation is given by the following rule:

$\begin{gathered} g(x)=f(x+k) \\ \end{gathered}$

where 'k' is a real number. We also have the following properties for 'k':

$\begin{gathered} k>0\Rightarrow the\text{ function moves left} \\ k<0\Rightarrow\text{the function moves right} \end{gathered}$

in this case, we have thef ollowing function:

$g(x)=f(x+4)=10^{x+4}$

then, the graph of g(x) will be 4 units to the right from the graph of the function f(x)