A **graphing calculator** is a *scientific calculator* that is capable of graphing mathematical expressions, such as, functions in the Cartesian or polar coordinate systems.

In addition to **functions**, this **graphing calculator** is capable of graphing **equations** (including **implicitly defined functions**), **parametric equations** and **point sets** in the Cartesian or polar coordinate systems.

## Syntax by Examples

- f(x) =
**x^2sin(x) + 2x + 1***(function)* **x^3-xy+2y^2 = 5x+2y+5***(equation)*- p(t) =
**[sin(t), cos(t)]***(parametric)* **1,2; -2, 2/3; sin(π/3), 2^3-1***(points)*

In particular, you can use this **graphing calculator** to graph **conic sections** (in the standard and the general form **ax^2 + bxy + cy^2 - dx + ey - f = 0**, which can be a **circle**, **ellipse**, **parabola**, **hyperbola** or some degenerated graphs) and also graph **level curves**, which are in the form **F(x,y) = c**.

Unlike other graphing software, this **graphing calculator** can also graph in **non-perpendicular** (or **non-orthogonal**) Cartesian coordinate systems, where axes need not be horizontal or vertical and can intersect at any angle.

Another unique and tremendously useful feature of this **graphing calculator** is that it can **animate** **polar graphs of** functions. In addition, it is capable of animating the graph of **parametric equations** in both the Cartesian and polar coordinate systems. This way the **graphing calculator** shows how these types of graphs are constructed progressively from a starting value to an ending value on their specified domain (interval).

Furthermore, this **graphing calculator** can be used to **solve equation**s in order to find **x-intercepts** (*zeros* or *roots*) of a given function.

Moreover, you can use this **derivative graphing calculator** to **calculate derivatives** of the *1 ^{st}* and

*2*

^{nd}**order**of a given

**function**or

**parametric expression**and

**graph**their

**derivatives**.

Note: to calculate the higher order derivatives and also *partial derivatives* of *multi-variable functions* you can use the partial derivative calculator.

**Lines**

**Semi-circles**

**Semi-ellipses**

**Parabolas**

**Semi-hyperbolas**

**Other graphs**

**Lines**

**Circles**

**Spirals**

**Roses**

**Ellipses**

**Parabolas**

**Hyperbolas**

**Cardioids**

**Limacons**

**Lemniscates**

**Butterfly curve**

**Lines**

**Circles**

**Ellipses**

**Parabolas**

**Hyperbolas**

**Other graphs**

**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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