Question

Choose the function that is a “parent function”

Answer 1

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

Answer 2

Answer:

(C). $f(x)=\sqrt{x}$

Step-by-step 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). $f(x)=\sqrt{x}$

We can see that the given function is neither shifted nor stretched , therefore, $f(x)=\sqrt{x}$ 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.