The reciprocal function can be written in the form [math]f(x)=\frac{a}{x-h}+k[/math]. The graph of the reciprocal function is called a hyperbola. Transformations of the hyperbola can be explored by changing the values of [i]a[/i], [i]h[/i] and [i]k[/i].

1. Use the slider to change the value of [i]a[/i]. Describe what happens. What kind of transformation is this?[br]2. Use the slider to change the value of [i]h[/i]. Describe what happens. What kind of transformation is this?[br]3. Use the slider to change the value of [i]k[/i]. Describe what happens. What kind of transformation is this?[br]4. What are the equations of the asymptotes?