Answer
See graph and explanations.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/7da81c55-9987-4ce9-af39-2bb6565af0eb/result_image/1581359458.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011917Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=ebc741a161ec418b1b86859ea0fe7b366ee63660a17475fe105eb4601f560f0c)
Work Step by Step
Step 1. Graph the function $f(x)=\sqrt x$, shown as the blue curve in the figure.
Step 2. To obtain the graph of function $g(x)=\sqrt {3-x}=\sqrt {-(x-3)}$, shift the original horizontally 3 units to the right, then reflect the result around $x=3$ (shown as the red curve in the figure).