One important concept in the study of polynomials is the
reciprocal transformation. What happens when we take the
reciprocal transformation of a function, or one over the
function Specifically, there are ways to create the graph of the
reciprocal transformation of a function from the graph of the
function itself. The reciprocal transformation is important in
the definition of rational functions. I want to take a look at a
particular transformation called the "Reciprocal Transformation"
given the graph of a function y=f of x what does the graph of y
equals 1 over f of x look like? To figure that out I want to
start with a simple example. Let's use the graph of y equals 1
minus a half x to graph y equals 1 over 1 minus a half x. First
thing I want to do is graph y equals 1 minus a half x and that's
pretty easy alright this is going to be a line with y intercept
1 and slope negative one half. So it's gong to go down 1 over 2
and right away when you have 2 points for a line you can graph
the line immediately so l