Transformations

The transformations of functions that were presented in the Families of Functions unit also apply to exponential functions. The following list shows how the patterns apply to exponentials:

1. y = 2 x + a translates the graph a units up; asymptote equation y = a

2. y = 2 x -a translates the graph a units down; asymptote equation y = -a

3. y = 2 x-a translates the graph a units right; asymptote equation y = 0

4. y = 2 x+a translates the graph a units left; asymptote equation y = 0

5. y=-(2 x) reflects the graph across the x-axis; asymptote equation y = 0

6. y = 2 -x reflects the graph across the y-axis; asymptote equation y = 0