# Explorations of the Reciprocal Function

- Author:
- Kim Kembitzky, i.thomson

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?