Dynamic Visualization of Vertex Form for a Negative Power Function: Graphs and Mapping Diagrams
$f(x)=a_n(x−h)^{-n}+k = \frac {a_n}{(x-h)^n} + k.$   $n>0$
• Move the slider to change the value of $n, h, k$, and $a_n$.
• Check the box to see the table data visualized as arrows on the mapping diagram and points on the graph for the function.
• Select the point $x$ in the mapping diagram to move the point by mouse or use the scroll up or down key  to move by increments of 0.1.

Martin Flashman, Nov.8, 2013, Created with GeoGebra