Option (B) will be the correct option.
Definition of a parent function:
- A parent function is simplest function which represents the entire family of that kind of functions.
We will check each option given for the definition of a parent function.
Option (A)
[tex]f(x)=-2^{x+1}[/tex]
Parent function will be,
[tex]f(x)=2^x[/tex]
Option (B),
[tex]f(x)=4^x[/tex]
It's a simplest form of an exponential function.
Therefore, it's a parent function.
Option (C),
[tex]f(x)=e^{3x}-2[/tex]
Parent function → [tex]f(x)=e^{3x}[/tex]
Option (D),
[tex]f(x)=4x^2[/tex]
Parent function → [tex]f(x)=x^2[/tex]
Learn more about the parent function and the transformation here,
https://brainly.com/question/11474649?referrer=searchResults
