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
^{^{________________________}}

on/off

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( )²
^{^{________________________}}

on/off

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( )²
^{^{________________________}}

on/off

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.
on/off

1.      ( , )
2.      ( , )
3.      ( , )
4.      ( , )
5.      ( , )
6.      ( , )
7.      ( , )
8.      ( , )
9.      ( , )
10.      ( , )
11.      ( , )
12.      ( , )
13.      ( , )
14.      ( , )
15.      ( , )
16.      ( , )
17.      ( , )
18.      ( , )
19.      ( , )
20.      ( , )

More feature 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

Video

Moving Keypad: Double Click anywhere on screen.
Input function f(x) =

Input function f '(x) =

Input initial guess (Input a value left of x-intercept)

Display values in decimals

How to identify x-intercept of f(x) or zero of function f(x):
If values in last column (|New Estimate - Previous Estimate |) approach zero, then x-intercept of f(x) (or zero of function f(x))
is approximated by the value in last row of the 5th column ('New Estimate').

Simulation of Newton's Method video

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

xMin	xMax
yMin	yMax

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 =

Input function f(x) =

Input function f '(x) =

Input initial guess of zero of function (input a value left of x-intercept)
(Estimate of x-intercept is updated when "Submit" button is clicked.)