f(x)=a(x-p)(x-q)
This investigation in Geogebra is to explore the behavior of a quadratic function in the form "f(x)=a(x-p)(x-q)". The variable "a" impacts how wide or narrow the graph is. The variable "p" impacts the graph's horizontal shift and the variable "q" impacts the graph's vertical shift. The asymptote shows the line of symmetry of the hyperbole.