Section Objectives
We have already discussed translations (shifts) of graphs. This table summarizes the transformations we have already seen, as well as a few new ones.
Transformed Function | Effect on Graph |
---|---|
Graph of shifted units up (down if is negative) | |
Graph of shifted units left (right if is negative) | |
Graph of reflected about -axis | |
Graph of reflected about -axis | |
Graph of stretched vertically | |
Graph of compressed vertically | |
Graph of compressed horizontally | |
Graph of stretched horizontally |
Important idea: When a function is transformed, its special features, such as domain, range, and intervals on which it is increasing/decreasing, change in corresponding ways.
For further help...
There are lots of resources available to help you with transformations.