Question

Choose the function that is a “parent function”

Answer 1

the 3rd one, sqrt(x) represents a parent function

Answer 2

(C).
`f(x)=√(x)`

Explanation:

We have been given four functions. We are asked to choose the graph of a parent function.

Let us check our given choices one by one.

(A)
`F(x)=x+3`

Upon looking at our given function, we can see that the given graph is shifted version of parent function
`y=x`.

Since the given graph is shifted upwards from parent function
`y=x`, therefore, option A is not a correct choice.

(B)
`f(x)=(x-3)^2`

We can see that our given function is shifted version of parent function
`f(x)=x^2`, therefore, option B is not a correct choice.

(C).
`f(x)=√(x)`

We can see that the given function is neither shifted nor stretched , therefore,
`f(x)=√(x)` is parent function.

(D).
`f(x)=|x-3|`

The given function is shifted to right by 3 units from absolute value parent function, therefore, option D is not a correct choice.