A **parametric equations grapher** (aka **parametric curve grapher**) is a *graphing software* that draws the range of a function `p(t) = `

on a given **[f(t), g(t)]***domain* in a coordinate system. 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)**.

Utilizing the most sophisticated 2D coordinate systems, our **parametric equations grapher** uses **animation** to graph **parametric curves**.

The animated graph shows how **Cartesian** and also **polar** **parametric curves** are constructed — our **polar parametric curve grapher** is the only known **parametric grapher** that is capable of graphing and animating **parametric equations** in the **polar coordinate system**

In animating the **polar parametric curve**, our **parametric curve grapher** shows the entire **rotating radial axes** marked with **radial distances**. This is a feature exclusive to our **parametric curve grapher**, which makes the animation easy to follow.

You can start **animation** by pressing ► at the bottom of the graphing area (if it's hidden, press the **Animate** button first).

It starts the animation of the **parametric graphing process** of the **parametric expression** ** in focus**. The graph is drawn

*progressively*from the initial value to the final value of t.

You can press **‖** to *pause* the **animation**, or press **Done** to *stop* it. This also closes the **animation** interface. To display it again press the **Animate** button at the top of the **parametric grapher**.

You can also change the *speed* of **parametric graphing animation** by using the **slider** provided.

In addition, it's also the only **parametric curve grapher** that enables you to rotate any of the coordinate axes and thus graph parametric curves in **skew** (*non-orthogonal*) Cartesian coordinate systems.

**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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