# How do you graph y=sqrt(x+3) and how does it compare to the parent function?

Aug 21, 2017

See explanation.

#### Explanation:

The graph of $y = \sqrt{x + 3}$ can be obtained by moving the graph of $y = \sqrt{x}$ 3 units to the left along $X$ axis:

The $y = \sqrt{x}$ graph:

graph{sqrt(x) [-10, 10, -5, 5]}

The $y = \sqrt{x - 3}$ graph:

graph{sqrt(x+3) [-10, 10, -5, 5]}