Plotting Points on Cartesian Plane on/off
Point Size: Large Medium Small

Graphing equation of circle in standard form (Video)
(x - h)² + (y - k)² = r² on/off
To view list of points on a graph, select a graph.

Example: Graph (x - 4)² + (y + 2)² = 16

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

( )²   ( )² =    on/off

Graphing ellipse and hyperbola in standard form (Video)
(x - h)²/a² + (y - k)²/b² = c on/off

( )²
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( )²
^{^{________________________}}

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( )²
^{^{________________________}}

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( )²
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Parametric Equations Video on/off
Tmin = Tmax = Tstepsize =

Polar Equations Video on/off
θmin = θmax = θstepsize =

Plotting Points in polar coordinates (r, θ) Video
Note: Use keypad below to indicate whether θ is in radians or degrees.
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1.      ( , )
2.      ( , )
3.      ( , )
4.      ( , )
5.      ( , )
6.      ( , )
7.      ( , )
8.      ( , )
9.      ( , )
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20.      ( , )

Graphing Implicit Function Video

on/off

Input Implicit Function
Note: Graphing of implicit function takes about 45 seconds to complete.

More feature coming soon.

Label x-axis with real numbers: on/off

Label y-axis with real numbers: on/off

Label x-axis with multiples of π: on/off
Input increment of π for x-axis =

Label y-axis with multiples of π: on/off
Input increment of π for y-axis =

Example: Increment = π/2 ⇒ axis will have: ....,-2π,-3π/2,-π/2,0,π/2,π,3π/2,2π,...

1	2	3	x	y	Clear
4	5	6	t	θ	π
7	8	9	*	+	—
0	.	-(neg)	÷	( )	(/)
░²	░³	░⁴	░⁵	░⁶	^

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Algebra Menu	Statistics Menu	Scientific Calculator
Precalculus Menu	Trigonometry Menu	Calculus Menu

Log	10^x	Ln	e	e^x	Submit
\| \|	Abs	√ ̅	∛ ̅	∜ ̅	nroot
Fraction	( )/( )	Log/Log	[[ ]]	Radian Mode	Degree Mode

Restricting x and piecewise functions

{x ≤ }	{x < }	{x ≥ }
{x > }	{x ≠ }	{x = }

{a ≤ x ≤ b}	{a ≤ x < b}
{a < x ≤ b}	{a < x < b}

{ }

≤

≥

≠

Restricting y

{y ≤ }	{y < }	{y ≥ }
{y > }	{y ≠ }	{y = }

{a ≤ y ≤ b}	{a ≤ y < b}
{a < y ≤ b}	{a < y < b}

Trigonometric and Hyperbolic Functions

Sin	Cos	Tan	Csc	Sec	Cot
Asin	Acos	Atan	Acsc	Asec	Acot
Sinh	Cosh	Tanh	Csch	Sech	Coth

Radian Mode	Degree Mode	x	y	θ	t
π

More features Coming Soon

Special Functions:

Greatest Integer Function
Example 1: Graph y = [[x]]; Input y = [[x]]
Example 2: Graph y = [[x + 2]]; Input y = [[x + 2]]
Example 3: Graph y = [[x - 3]]; Input y = [[x - 3]]
Note: Graph should be in "point mode".

Conic Sections: Circle, Ellipse, Hyperbola, Parabola
Input Format: circle(h; k; r); where (h, k) is center of circle and r is radius
Example: (x - 4)² + (y + 3)² = 25; Input will be circle(4; -3; 5)
Example: x² + y² = 20; Input will be circle(0; 0; √ ̅(20))


Input Format: ellipse(h; k; value under (x - h)²; value under (y - k)²); where (h, k) is center of ellipse
Example: (x - 4)²/16 + (y + 3)²/9 = 1; Input will be ellipse(4; -3; 16; 9)
Example: (y - 2)²/25 + (x + 7)²/12 = 1; Input will be ellipse(-7; 2; 12; 25)


Input Format: hyperbolaXY(h; k; value under (x - h)²; value under (y - k)²);
where (h, k) is center of ellipse
Example: (x - 4)²/16 - (y + 3)²/9 = 1; Input will be hyperbolaXY(4; -3; 16; 9)
Example: x²/15 - y²/20 = 1; Input will be hyperbolaXY(0; 0; 15; 20)


Input Format: hyperbolaYX(h; k; value under (x - h)²; value under (y - k)²);
where (h, k) is center of ellipse
Example: (y - 6)²/16 - (x + 7)²/9 = 1; Input will be hyperbolaYX(-7; 6; 9; 16)
Example: y²/15 - x²/20 = 1; Input will be hyperbolaYX(0; 0; 15; 20)

Statistics Functions

Input Format: normalpdf(μ; σ) where μ is population mean and σ is population standard deviation
Example: Draw pdf for normal population with μ = 0 and σ = 1. Input will normalpdf(0; 1)
Example: Draw pdf for normal population with μ = 2 and σ = 5. Input will normalpdf(2; 5)


Input Format: normalcdf(μ; σ) where μ is population mean and σ is population standard deviation
Example: Draw cdf for normal population with μ = 0 and σ = 1. Input will normalcdf(0; 1)
Example: Draw cdf for normal population with μ = 2 and σ = 5. Input will normalcdf(2; 5)


Input Format: tdistpdf(DF) where DF is degrees of freedom
Example: Draw pdf for t-distribution with degrees of freedom of 15. tdistpdf(15)


Input Format: tdistcdf(DF) where DF is degrees of freedom
Example: Draw cdf for t-distribution with degrees of freedom of 15. tdistcdf(15)

For more statistics-related features, go to

More features Coming Soon

Tracing for Cartesian Equations: ON OFF Video
To trace a graph, click on the radio button to the right of the input equation.

Note: When tracing feature is ON, shading feature is OFF.
Number of decimal places for input variable:
(Note: Input value of 0 means input variable will be integer.)

Parametric Equations Tracing:      Video      on/off
Select a pair of parametric equations:

t = (click on arrow to start tracing)

Tracing for Polar Equations: Video on/off

Select an equation:

θ = (click on arrow to start tracing)

Table of Values for Cartesian Equations
Finding specific y when x = Video
Finding specific x when y = Video
Separate values with commas. Example: 2,3,7

Express x in terms of π Express y values as fractions Detailed

TABLE 1

TABLE 2

TABLE 3

TABLE 4

TABLE 5

TABLE 6

TABLE 7

TABLE 8

TABLE 9

TABLE 10

TABLE 11

TABLE 12

TABLE 13

TABLE 14

TABLE 15

TABLE 16

TABLE 17

TABLE 18

TABLE 19

TABLE 20

Generate table of values:     Start =        End =        Stepsize =
   Video

Converting a value to a fraction or long decimal:
Convert to

Table of Values for Parametric Equations

Tmin = Tmax = Stepsize = on/off

Table of Values for Parametric Equations X(t) and Y(t) (set 1):

Table of Values for Parametric Equations X(t) and Y(t) (set 2):

Table of Values for Parametric Equations X(t) and Y(t) (set 3):

Table of Values for Parametric Equations X(t) and Y(t) (set 4):

Table of Values for Parametric Equations X(t) and Y(t) (set 5):

Table of Values for Parametric Equations X(t) and Y(t) (set 6):

Table of Values for Parametric Equations X(t) and Y(t) (set 7):

Table of Values for Parametric Equations X(t) and Y(t) (set 8):

Table of Values for Parametric Equations X(t) and Y(t) (set 9):

Table of Values for Parametric Equations X(t) and Y(t) (set 10):

Table of Values for Polar Equations

θmin = θmax = θstepsize = on/off

Table of Values for Polar Equation 1:

Table of Values for Polar Equation 2:

Table of Values for Polar Equation 3:

Table of Values for Polar Equation 4:

Table of Values for Polar Equation 5:

Table of Values for Polar Equation 6:

Table of Values for Polar Equation 7:

Table of Values for Polar Equation 8:

Table of Values for Polar Equation 9:

Table of Values for Polar Equation 10:

Table of Values for Polar Equation 11:

Table of Values for Polar Equation 12:

Table of Values for Polar Equation 13:

Table of Values for Polar Equation 14:

Table of Values for Polar Equation 15:

Table of Values for Polar Equation 16:

Table of Values for Polar Equation 17:

Table of Values for Polar Equation 18:

Table of Values for Polar Equation 19:

Table of Values for Polar Equation 20:

More features Coming Soon

xMin	xMax
yMin	yMax

Location of Mouse Over Chart:
Location of Mouse Click: ( , )

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Reflection of Cartesian Equations: Video on/off

Select an equation:
Reflect graph over:
(Reflection is only for graph with equation that starts with "y = " or "x = ")

Rotation of Cartesian Equations: Video on/off

Select an equation:
Degrees of rotation: (click on arrow to start rotation)
(Note: Rotation is only for graph with equation that starts with "y = " or "x = ")
( Rotation is about the origin; positive degrees of rotation is counterclockwise.)

Finding x-intercept and y-intercept: Video on/off

Select an equation:
Search for x-intercept between x = and x =

Search for y-intercept between y = and y =

Finding Intersection of Two Graphs: Video on/off

Select First Graph:
Select Second Graph:
Input approximate location of intersection (click on intersection or input manually): ( , )

Finding Maximum or Minimum: Video on/off

Select a graph:

For equation with "y = ":
Search for maximum/minimum point
between x = and x =

For equation with "x = ":
Search for leftmost/rightmost point between y = and y =

Shading/Painting: Video on/off

Enter Stroke Width: (Enter a value between 1 and 100; default value is 5.)
Transparency Level: (Enter a value between 0.1 and 1; default value is 0.4.)
Select a shading color:
Select a shading tool:

Drawing Line With Two Given Points:

Draw Line With Two Given Points:

Point 1: x₁ = y₁ =
Point 2: x₂ = y₂ =

Drawing Line With Given Slope and One Point:

Draw Line With Given Slope and One Point:

Slope =
Point : x₁ = y₁ =

Drawing Parabola Through Vertex and One Point:

Draw Parabola Through Vertex and One Point:

Vertex: x = y =
Point : x₁ = y₁ =

Drawing Parabola Through Three Points::

Draw Parabola Through Three Points:

Point 1 : x₁ = y₁ =
Point 2 : x₂ = y₂ =
Point 3 : x₃ = y₃ =

Drawing Circle:

Draw Circle:

Input Center : x = y =
Input Radius =

Drawing Ellipse of Equation in Standard Form:

Draw Ellipse of Equation in Standard Form:

Center : h = k =
Value Under (x - h)² =
Value Under (y - k)² =

Drawing Hyperbola of Equation in Standard Form:

Draw Hyperbola of Equation in Standard Form:

Center : h = k =
Value Under (x - h)² =
Value Under (y - k)² =
If equation is of the form (x - h)²/a² - (y - k)²/b² = 1, then
If equation is of the form (y - k)²/a² - (x - h)²/b² = 1, then

Drawing Two Parralel Lines:

Draw Two Parralel Lines:

Line 1 :
Slope = Passing Through: x = y =

Line 2 (parallel to Line 1; same slope as Line 1) :
Passing Through: x = y =

Drawing Two Perpendicular Lines:

Draw Two Perpendicular Lines:

Line 1 :
Slope = Passing Through: x = y =

Line 2 (perpendicular to Line 1; slope is negative reciprocal of slope of Line 1) :
Passing Through: x = y =

Testing Point for Inequality and Equation:

Testing Point: Input x- and y-coordinate (click on grid to input):
x = y =

Draw Tangent Line(s) for function defined implicitly or explicitly:

Input y' = dy/dx =
Draw tangent line(s) at the following point(s):
Example: (3,4) ; (-4,9)

More features Coming Soon

Links:

	Input for all eight graphs
	√3x + 4 - 5



	y = 2\|3.2x + 4/5\| - 6

More feature coming soon.

More features Coming Soon

Special Functions:

Statistics Functions

More features Coming Soon

Table of Values for Parametric Equations

Table of Values for Polar Equations

More features Coming Soon

More features Coming Soon

More Features Coming Soon