In this lesson, our instructor Vincent Selhorst-Jones goes over Parametric & Polar Graphs. Youll learn how to go to settings and change the graph type so that you can graph in parametric. Then, Vincent will teach about graphing in polar. The lesson ends with an example.
If you want to graph either a parametric or polar graph, the first step is to change the graph type your calculator is currently using. This option is often in the general `settings' , but it will vary from calculator to calculator. Once you find where
your calculator has this option, change it to whatever type you want to work with.
You still have to set up your viewing window when working with parametric and polar graphs. You need to choose the appropriate xmin, xmax, ymin, and ymax to view your graph. (Or move it to an appropriate place using zoom.)
Setting up a parametric graph is very similar to setting up a "normal" function graph. Instead of setting up a single function though, you set up both a horizontal function x(t) and a vertical function y(t). The only major difference is that you have
to tell the graphing calculator what interval the parameter should use. It will often default to t:[0, 2π] or t:[−10, 10], but for some graphs that won't be enough.
Graphing in polar is very similar. We enter some function r(θ) in terms of our independent variable θ. Just like parametric, we have to pay attention to the interval our θ is given.
When graphing both parametric and polar functions, you might see that the calculator doesn't produce a very smooth graph. That's because of the tstep/θstep: the step-size between points it uses for graphing. If you use a smaller
value, the graph will smooth out.
Parametric & Polar Graphs
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.