I'm all Curvy in a Parametric Way!
By Stephanie Britt
According to Dr. Wilson a parametric curve in the plane is a pair of functions where the two continuous functions define ordered pairs (x,y). The two equations are usually called the parametric equations of a curve. In many applications, we think of x and y "varying with time t " or the angle of rotation that some line makes from an initial location.
Here we will explore what happens when we manipulate a and b. If we bound t between zero and 2*pi
One can see that if a and b are not the same that the graph transforms from a circle to and ellipse.
When we animate a or be the increase of the axis points are changed.
You can see that the variation of a effects the axis that a is on.
What would happen if we animated both x and y axis?