Answer: A: √x+5
Step-by-step explanation:
The parent square root function is √x
Transformations to this graph come in the form y =√(x-h) +k, where h is responsible for left-right movements, and k is responsible for up down movements.
For the image, we can see that f(x) is simply the parent square root function, √x. To get h(x) from f(x), there is a translation of 5 units to the left, which can be algebraically represented by a value of h = -5. Putting this into our form, we get h(x) = √x+5, which is your answer :)
