Math Homework. Do It Faster, Learn It Better.
Graphing Square Root Functions
The parent function of the functions of the formis.
Note that thedomainofisand therangeis.
The graph ofcan be obtained by translating the graph oftounits to the right and thenunits up.
Example:
Sketch the graph offrom its parent graph.
Solution:
Step 1: Draw the graph of.
Step 2: Move the graph ofbyunit to the right to obtain the graph of.
Step 3: Move the graph ofbyunits up to obtain the graph of.
The domain of the functionis.
The range of the functionis.