# How do you graph y=sqrtx-2 and how does it compare to the parent function?

Jul 17, 2018

#### Explanation:

Given: $y = \sqrt{x} - 2$

The parent function is $g \left(x\right) = \sqrt{x}$

The domain is limited because of the radical: $x \ge 0$

The $- 2$ outside of the radical determines the vertical shift, $2$ units down.

Graph of the parent function $g \left(x\right) = \sqrt{x}$:
graph{sqrt(x) [-5, 10, -5, 5]}

Graph of the given function $g \left(x\right) = \sqrt{x} - 2$:
graph{ sqrt(x) - 2 [-5, 10, -5, 5]}