Students often have difficulty with the concept of parametric
representation of a graph. It is confusing that one of the variables
does not "show up" on the graph. In a representation
of the form y=f(x) the role of the variables x and y shows up
very clearly on the "picture", but when a parametric
curve x=x(t) and y=y(t) is drawn in the xy-plane the variable
t seems to disappear. The connection between graphs and functions
thus seems to be lost. Parametric representations thus strike
many students as being a somewhat irrelevant topic in calculus.
In this paper we practice with some graphing calculator-aided
activities designed to aid in comprehension and to convince students
of the usefulness of parametric representations.