Explanation
To shift a function f(x) to the left in a units (where a > 0), we apply the following transformation:
[tex]f(x)\rightarrow g(x)=f(x+a).[/tex]
In this case, we have:
• a shift to left in a = 8 units,
,
• the parent function f(x) = x.
Applying the transformation from above, we get:
[tex]f(x)=x\rightarrow g(x)=f(x+8)=x+8.[/tex]Answer
D. g(x) = x + 8
