Question

Which of the following is a parent function

A.f(x)=x^4+3
B.f(x)=2*3^x
C.f(x)=2e^2x
f(x)=e^x

Answer 1

the last one

Explanation:

Answer 2

The correct option is D

Explanation:

`\text{A. f(x) = }x^4 +3`

The parent function can be x but in this case it is translated so the translated function cannot be a parent function.

`\text{B. f(x) = }2* 3^x`

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.

`\text{C. f(x) = }2* e^(2x)`

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.

`\text{D. f(x) = }e^(x)`

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