Question

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

Answer 1

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]}