graphing
Parametric graphing calculator in Graph Lab
Enter (x(t), y(t)) pairs in Graph Lab to plot parametric curves like Lissajous loops—use the demo, then change frequencies for precalculus homework.
By UtilBloom · Published 2026-10-12 · Updated 2026-10-12
The problem
Parametric equations describe motion and closed loops that y = f(x) cannot capture in one function. Students need a grapher that accepts (x(t), y(t)) without forcing a polar rewrite.
How to plot parametrics in Graph Lab
Add a row with a pair such as (cos(3t), sin(2t)). Enable equal aspect if the curve looks stretched. Restrict the t-domain when the UI exposes braces so the loop closes cleanly. Open the parametric Lissajous demo.
When to use polar or 3D instead
Use polar graphing for r(θ) roses and cardioids. Use 3D graphing for z = f(x, y) surfaces. Desmos Classroom still wins for sequenced parametric lessons with teacher dashboards.
FAQ
What variable should I use for the parameter?
Prefer t for parametric pairs; θ is reserved for polar r(θ) forms.
Why does my ellipse look like a circle?
Turn on equal aspect in settings so x and y share the same scale.
Can I overlay a parametric with y = f(x)?
Yes—add both rows in the multi-expression list.
Is this a Desmos replacement?
It is a free Desmos-like parametric grapher for private sessions, not Classroom. See /compare/desmos.