Graphing Square Root Functions
The parent function of the functions of the form 
is 
.
Note that the domain of is 
and the range is 
.
The graph of can be obtained by translating the graph of to a units to the right and then b units up.
Example:
Sketch the graph of 
from its parent graph 
.
Solution:
Step 1: Draw the graph of
.
Step 2: Move the graph of by 1 unit to the right to obtain the graph of 
.
Step 3: Move the graph of by 2 units up to obtain the graph of .
The domain of the function is 
.
The range of the function is 
.
