## Syntax for Functions

To **graph a function**, for example,
f(x) = ** 3x**, type in

^{2}+2x+1

`3x^2+2x+1`

Or, when **graphing in the polar coordinate system**, if the expression is represented by
r(θ) = ** 3θ**, type in

^{2}+2θ+1

`3θ^2+2θ+1`

To type ** θ** type

**(**

`..t`

*two dots followed by*). You can also use

`t`

**for**

`x`

**. All**

`θ`

**'s are internally replaced by**

`x`

**when graphing functions in**

`θ`

**polar coordinate system**.

## Syntax for Equations

To **graph an equation**, for example,
** x**, simply type in the equation (using the "=" sign).

^{3}-xy+2y

^{2}= 5x+2y+5

`x^3-xy+2y^2 = 5x+2y+5`

## Syntax for Parametric Curves

To **graph a parametric curve** represented, for example, by a function
p(t) = [x(t), y(t)] = ** [sin(t), cos(t)] for -π < t < π**
or equivalently, by the equations
x(t) =

**y(t) =**

`sin(t)`

`cos(t)`

**type in**

`-π < t < π`

**[**

`sin(t),cos(t)`

] dom=(`-pi,pi`

)Or, when **graphing in the polar coordinate system**, if the expression is represented by
p(t) = [r(t), θ(t)] =
**[ sin(t), cos(t)] for
-π < t <
π
**
or equivalently, by the equations
r(t) =

**θ(t) =**

`sin(t)`

`cos(t)`

**type in**

`-π`

` < t < π`

**[**

`sin(t), cos(t)`

] dom=(`-pi, pi`

)Note: Using **[ ]** to enclose `x(t),y(t)`

or `r(t),θ(t)`

is **optional**.

## Syntax for Points

To **graph a set of points** `{(x`

,
type in
_{i},y_{i}): i = 1,...,n}`x`

_{1}, y_{1}; x_{2}, y_{2}; ... x_{n}, y_{n}

Or, when graphing the points `{(r`

in the _{i},θ_{i}): i = 1,...,n}**polar coordinate system**, type in
`r`

_{1}, θ_{1}; r_{2}, θ_{2}; ... r_{n}, θ_{n}