The reciprocal function
The reciprocal function can be written in the form . The graph of the reciprocal function is called a hyperbola. Transformations of the hyperbola can be explored by changing the values of a, h and k.
1. Use the slider to change the value of a. Describe what happens. What kind of transformation is this?
2. Use the slider to change the value of h. Describe what happens. What kind of transformation is this?
3. Use the slider to change the value of k. Describe what happens. What kind of transformation is this?
4. What are the equations of the asymptotes?