Answer:
The correct option is D
Step-by-step explanation:
[tex]\text{A. f(x) = }x^4 +3[/tex]
The parent function can be x but in this case it is translated so the translated function cannot be a parent function.
[tex]\text{B. f(x) = }2\times 3^x[/tex]
The parent function can be exponential in this case but in this case it is translated so the translated function cannot be a parent function.
[tex]\text{C. f(x) = }2\times e^{2x}[/tex]
The parent function can be exponential in this case but in this case it is translated so the translated function cannot be a parent function.
[tex]\text{D. f(x) = }e^{x}[/tex]
In this case the exponential is the parent function because it is not translated instead it is in its base form.
Therefore, The correct option is D
