Answer: second option.
Step-by-step explanation:
There are several transformations for a function f(x). Some of them are shown below:
1. If [tex]f(x)+k[/tex], then the function is translated "k" units up.
2. If [tex]f(x)-k[/tex], then the function is translated "k" units down
3. If [tex]f(x+k)[/tex], then the function is translated "k" units to the left.
4. If [tex]f(x-k)[/tex], then the function is translated "k" units to the right.
In this case know that the function g(x) is obtained by transforming the parent function f(x) given in the exercise.
Since the parent function is:
[tex]f(x) = 8x[/tex]
And the function g(x):
[tex]g(x) = 8x+2[/tex]
You can identify that the transformation is the following:
[tex]g(x)=f(x)+k[/tex]
Where:
[tex]k=2[/tex]
Therefore, you can conclude that adding 2 to the function translates the parent graph 2 units up.
