Complex Functions -- Conjugates
Here, we consider a function dealing with the conjugate of a given complex number.
Use the sliders or enter values for and . This will define the numbers and accordingly. (Notice that and are conjugates of one another!)
Consider the following cases:
1) When neither nor are equal to zero
2) When one is zero and the other is not
3) When both a and b are zero
How does this affect our traced function? (Pay attention to the orientation, too!)
Using the input box for , play around with different functions with respect to and . How does the shape look in comparison to the original function?
If time permits, adjust the sliders to allow for larger values and repeat the same investigations.
App designed by Mason Taylor,
edited by Dorothea Nguyen