how does the graph of y = √x + 2 compare to the graph of the parent square root function?\nthe graph is a…

Answer:

C. The graph is a vertical shift of the parent function 2 units up.

Explanation:

Step1: Recall parent - function form

The parent square - root function is $y = \sqrt{x}$.

Step2: Analyze the transformation

For a function $y=f(x)+k$, when $k>0$, it represents a vertical shift. Here, the given function is $y=\sqrt{x}+2$, where $k = 2$. A positive $k$ value means the graph of $y = f(x)$ (the parent function $y=\sqrt{x}$) is shifted $k$ units up. So the graph of $y=\sqrt{x}+2$ is a vertical shift of the parent square - root function 2 units up.