The Effects of Some Simple Compositions on the Graph of a Function
The Effects of Some Simple Compositions on the Graph of a Function
How are the graphs of , , , , , , , and related to the graph of ? These important ideas from a precalculus course are illustrated using various common functions including , , and . The graphs of these functions can be translated vertically and horizontally to provide many more examples of . The reset button puts a previously translated graph back to its original position.
f(x-a)
b+f(x)
-f(x)
f(-x)
|f(x)|
f(|x|)
1/f(x)
f(1/x)
f(x)
sin(x)
x
e
|x|
g(x)