Discover our free online **parametric equations grapher**, world's best 2D **parametric graphing calculator**, easy-to-use and sophisticated.

## What is a Parametric Equations Grapher?

A **parametric equations grapher** draws the curve given by the **parametric equations** `x = `

, **f(t)**`y = `

in the Cartesian or polar coordinate systems by plotting the points **g(t)**

as **(f(t), g(t))**`t`

varies. In other words, it draws the range of a function `p(t) = `

on a given **[f(t), g(t)]***domain*. Such a graph is called the graph of the parametric equations `x = `

, **f(t)**`y = `

or the **g(t)****parametric curve** *represented* by the function **p(t)**.

## Cartesian and Polar Parametric Curves

Our free online **parametric curve grapher** is unique as it is the only **parametric equations graphing calculator** that can graph parametric equations in both **Cartesian** and **polar coordinate systems**. Our **parametric grapher** also makes it easy to switch between **Cartesian** and **polar** **parametric graphs** by checking/unchecking the **Polar checkbox**. This allows you to visualize **parametric curves** in either coordinate system with ease.

Another unique feature of our **parametric equations graphing calculator** is that it can graph **parametric curves** in **oblique coordinate system**s, where the axes can intersect at any angle.

## Animating Parametric Curves

Our **parametric curve grapher** is also unique in its ability to **animate** the construction of **parametric graphs** in a way that is ideal for teaching and learning how to **graph parametric curves** in both **Cartesian** and **polar** coordinate systems.

The **animation** shows how to construct a **parametric curve** in both **Cartesian** and **polar** **coordinate systems**, step-by-step on its domain. You can also **control the animation speed**, and run, pause, and resume it with the convenient interface. This is useful for students, engineers, and scientists who need to visualize and analyze **parametric curves** in both graphical representations.

When animating **polar parametric curves**, our **polar parametric equations grapher** shows the entire **rotating radial axes** marked with **radial distances**. This is a feature that is only available in our **polar parametric curve grapher**.

*You can watch the parametric graphing process in both Cartesian and polar coordinate systems by running the animation feature as described below*.

**Lines**

**Circles**

**Ellipses**

**Parabolas**

**Hyperbolas**

**Other parametric graphs**

**Butterfly curve**

**Lines**

**Circles**

**Spirals**

**Roses**

**Ellipses**

**Parabolas**

**Hyperbolas**

**Cardioids**

**Limacons**

**Lemniscates**

**Other parametric graphs**

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