Question

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

Answer 1

See answer below

Explanation:

Given: `y = sqrt(x) - 2`

The parent function is `g(x) = sqrt(x)`

The domain is limited because of the radical: `x >= 0`

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

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

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