The graph of y= sqrt of x is transformed as shown in the graph below. which equation represents the transformation function?
graph and choices:

The equation that represents the transformation function is:

Step-by-step explanation:

We are given a parent function f(x) as:

Now, this function f(x) is transformed to get a function whose graph is given.

Let the transformed function is: g(x)

Clearly by looking at the graph we observe that at x=4 we have:

g(x)=0

2)

at x=4 , we have:

As the term under the square root is negative hence, we will get the function's value as imaginary value and not real.

Hence, Option (2) is incorrect.

3)

at x=4 , we have:

As the term under the square root is negative hence, we will get the function's value as imaginary value and not real.

Hence, Option (3) is incorrect.

4)

at x=4 , we have:

Hence, option (4) is incorrect.

1)

at x=4 , we have:

Hence, option (1) is the correct answer.