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

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Answer 1 · 2018-07-17T04:49:36

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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]}

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