Math Homework. Do It Faster, Learn It Better.
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 units to the right and then 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 unit to the right to obtain the graph of .
Step 3: Move the graph of by units up to obtain the graph of .
The domain of the function is .
The range of the function is .