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Pre-Calculus Desmos File Library

  • Table of Points 
  • Conic Sections 
    • Parabolas
    • Circles
    • Ellipses
    • Hyperbolas
  • Piecewise Functions
    • Step Functions
  • Absolute Value Functions

Tables of Points



Conic Sections

Standard Form Conic Equations

Parabolas (Vertex Form)


Quadratic Functions (Vertex Form)


This slider based document is the basis for all of the quadratic function's seen in this section​

Parabolas 101: Opens Up or Down FUNCTIONS
  • DESMOS File
  • this file will show 
    • axis of symmetry
    • focus
    • directrix line
    • x intercepts
    • y intercept
    • a, h, and k are integers
    • lines that help support the definition of a parabola
    • points with particular integer x values
    • points with particular integer y values

A > 0 Opens UP

0 < A < 1 Vertical Compression
vertex (h,k) any integer in [-10,10]
A > 1 Vertical Stretch
​vertex (h,k) any integer in [-10,10]

Parabolas 101: Opens Up or Down FUNCTIONS
  • DESMOS File
  • h = 0
  • k = 0
  • vertex at origin
Parabolas 101: Opens Down FUNCTIONS
  • DESMOS File
  •  A < -1
  • this is a vertical stretch
  • this is a vertical reflection 
Parabolas 101: Opens Down FUNCTIONS
  • DESMOS File
  • A < -1
  • this is a vertical stretch
  • this is a vertical reflection 
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Down FUNCTIONS
  • DESMOS File
  •  A < -1
  • this is a vertical stretch
  • this is a vertical reflection 
  • k = 0
  • vertex on x axis

Parabolas 101: Opens Down FUNCTIONS
  • DESMOS File
  •  -1 < A < 0
  • this is a vertical compression 
  • this is a vertical reflection
Parabolas 101: Opens Down FUNCTIONS
  • DESMOS File
  •  -1 < A < 0
  • this is a vertical compression 
  • this is a vertical reflection
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Down FUNCTIONS
  • DESMOS File
  •  -1 < A < 0
  • this is a vertical compression 
  • this is a vertical reflection
  • k = 0
  • vertex on x axis

Parabolas 101: Opens Up FUNCTIONS
  • DESMOS File
  •  0 < A < 1
  • this is a vertical compression 
Parabolas 101: Opens Up FUNCTIONS
  • DESMOS File
  •  0 < A < 1
  • this is a vertical compression
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Up FUNCTIONS
  • DESMOS File
  •  0 < A < 1
  • this is a vertical compression
  • k = 0
  • vertex on x axis

Parabolas 101: Opens Up FUNCTIONS
  • DESMOS File
  •  A > 1
  • this is a vertical stretch 
Parabolas 101: Opens Up FUNCTIONS
  • DESMOS File
  •  A > 1
  • this is a vertical stretch 
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Up FUNCTIONS
  • DESMOS File
  •  A > 1
  • this is a vertical stretch 
  • k = 0
  • vertex on x axis

Quadratic Relations (Vertex Form)


Parabolas 101: Opens Left and Right RELATIONS ONLY
  • ​DESMOS File
Parabolas 101: Opens Left RELATIONS ONLY
  • ​DESMOS File
  • A < 0
Parabolas 101: Opens Right RELATIONS ONLY
  • ​DESMOS File
  • A < 0

Parabolas 101: Opens Left and Right RELATIONS ONLY
  • ​DESMOS File
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Left and Right RELATIONS ONLY
  • ​DESMOS File
  • k = 0
  • vertex on x axis
Parabolas 101: Opens Left and Right RELATIONS ONLY
  • ​DESMOS File
  • h = 0
  • k = 0
  • vertex at origin

Parabolas 101: Opens Left RELATIONS ONLY
  • ​DESMOS File
  • A < -1
  • this is a horizontal stretch
  • this is a horizontal reflection
Parabolas 101: Opens Left RELATIONS ONLY
  • ​DESMOS File
  • A < -1
  • this is a horizontal stretch
  • this is a horizontal reflection
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Left RELATIONS ONLY
  • ​DESMOS File
  • A < -1
  • this is a horizontal stretch
  • this is a horizontal reflection
  • k = 0
  • vertex on x axis

Parabolas 101: Opens Left RELATIONS ONLY
  • ​DESMOS File
  •  -1 < A < 0
  • this is a horizontal compression
  • this is a horizontal reflection
Parabolas 101: Opens Left RELATIONS ONLY
  • ​DESMOS File
  •  -1 < A < 0
  • this is a horizontal compression
  • this is a horizontal reflection
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Left RELATIONS ONLY
  • ​DESMOS File
  •  -1 < A < 0
  • this is a horizontal compression
  • this is a horizontal reflection
  • k = 0
  • vertex on x axis

Parabolas 101: Opens Right RELATIONS ONLY
  • ​DESMOS File
  •  0 < A < 1
  • this is a horizontal compression 
Parabolas 101: Opens Right RELATIONS ONLY
  • ​DESMOS File
  •  0 < A < 1
  • this is a horizontal compression
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Right RELATIONS ONLY
  • ​DESMOS File
  •  0 < A < 1
  • this is a horizontal compression
  • k = 0
  • vertex on x axis

Parabolas 101: Opens Right RELATIONS ONLY
  • ​DESMOS File
  • A > 1
  • this is a horizontal stretch
Parabolas 101: Opens Right RELATIONS ONLY
  • ​DESMOS File
  • A > 1
  • this is a horizontal stretch
  • h = 0
  • vertex on y axis
Parabolas 101: Opens Right RELATIONS ONLY
  • ​DESMOS File
  • A > 1
  • this is a horizontal stretch
  • k = 0
  • vertex on x axis


General Form Conic Equations


General Conic Equation 101: integer coefficients and constants
  • DESMOS File
  • this file has no XY term
General Conic Equation 101: integer coefficients and constants
  • DESMOS File
  • this file has an XY term

Parabolas


Parabolas 101:General Form (opens UP and DOWN)
  • ​DESMOS File
  • this file has no XY term
  • this file has no Y squared term
Parabolas 101:General Form (opens LEFT and RIGHT)
  • ​DESMOS File
  • this file has no XY term
  • this file has no X squared term

Circles


Circle 101:General Form 
  • ​DESMOS File
Circle 101:General Form no x or y term
  • ​DESMOS File
  • this file has no X term
  • this file has no Y term

Circle 101:General Form no x term
  • ​DESMOS File
  • this file has no X term
Circle 101:General Form no y term
  • ​DESMOS File
  • this file has no Y term

Ellipses


Ellipse 101:General Form 
  • ​DESMOS File
  • this file has no XY term
  • A and B > 0 
  • When A = B circle is present

Ellipse 101:General Form C = 0
  • ​DESMOS File
  • this file has no XY term
  • A and B > 0 
  • When A = B circle is present
  • C = 0
Ellipse 101:General Form D = 0
  • ​DESMOS File
  • this file has no XY term
  • A and B > 0 
  • When A = B circle is present
  • D = 0
Ellipse 101:General Form C & D = 0
  • ​DESMOS File
  • this file has no XY term
  • A and B > 0 
  • When A = B circle is present
  • C = 0
  • D = 0

Ellipse 101:General Form C = 0
  • ​DESMOS File
  • this file has no XY term
  • A and B < 0 
  • When A = B circle is present
  • C = 0
Ellipse 101:General Form D = 0
  • ​DESMOS File
  • this file has no XY term
  • A and B < 0 
  • When A = B circle is present
  • D = 0
Ellipse 101:General Form C & D = 0
  • ​DESMOS File
  • this file has no XY term
  • A and B < 0 
  • When A = B circle is present
  • C = 0
  • D = 0

Ellipse 101:General Form 
  • ​DESMOS File
  • this file has an XY term
  • A and B > 0 

Ellipse 101:General Form D = 0
  • ​DESMOS File
  • this file has an XY term
  • A and B > 0 
  • D = 0
Ellipse 101:General Form E = 0
  • ​DESMOS File
  • this file has an XY term
  • A and B > 0 
  • E = 0
Ellipse 101:General Form D & E = 0
  • ​DESMOS File
  • this file has an XY term
  • A and B > 0 
  • D = 0
  • E = 0

Ellipse 101:General Form D = 0
  • ​DESMOS File
  • this file has an XY term
  • A and B < 0 
  • D = 0
Ellipse 101:General Form E = 0
  • ​DESMOS File
  • this file has an XY term
  • A and B < 0 
  • E = 0
Ellipse 101:General Form D & E = 0
  • ​DESMOS File
  • this file has an XY term
  • A and B < 0 
  • D = 0
  • E = 0

Hyperbolas


Hyperbola 101:General Form 
  • ​DESMOS File
  • this file has no XY term
  • A > 0 and B < 0 

Hyperbola101:General Form C = 0
  • ​DESMOS File
  • this file has no XY term
  • A > 0 and B < 0 
  • C = 0
Hyperbola101:General Form D = 0
  • ​DESMOS File
  • this file has no XY term
  • A > 0 and B < 0 
  • D = 0
Hyperbola101:General Form C = 0 & D = 0
  • ​DESMOS File
  • this file has no XY term
  • A > 0 and B < 0 
  • C = 0
  • D = 0

Hyperbola 101:General Form 
  • ​DESMOS File
  • this file has no XY term
  • A < 0 and B > 0 

Hyperbola101:General Form C = 0
  • ​DESMOS File
  • this file has no XY term
  • A < 0 and B > 0 
  • C = 0
Hyperbola101:General Form D = 0
  • ​DESMOS File
  • this file has no XY term
  • A < 0 and B > 0 
  • D = 0
Hyperbola101:General Form C = 0 & D = 0
  • ​DESMOS File
  • this file has no XY term
  • A < 0 and B > 0 
  • C = 0
  • D = 0

Hyperbola 101:General Form 
  • ​DESMOS File
  • this file has an XY term
  • A > 0 and B < 0 

Hyperbola101:General Form D = 0
  • ​DESMOS File
  • this file has an XY term
  • A > 0 and B < 0 
  • D = 0
Hyperbola101:General Form E = 0
  • ​DESMOS File
  • this file has an XY term
  • A > 0 and B < 0 
  • E = 0
Hyperbola101:General Form C = 0 & D = 0
  • ​DESMOS File
  • this file has an XY term
  • A > 0 and B < 0 
  • C = 0
  • D = 0

Hyperbola 101:General Form 
  • ​DESMOS File
  • this file has an XY term
  • A < 0 and B > 0 

Hyperbola101:General Form D = 0
  • ​DESMOS File
  • this file has an XY term
  • A < 0 and B > 0 
  • D = 0
Hyperbola101:General Form E = 0
  • ​DESMOS File
  • this file has an XY term
  • A < 0 and B > 0 
  • E = 0
Hyperbola101:General Form D = 0 & E = 0
  • ​DESMOS File
  • this file has an XY term
  • A < 0 and B > 0 
  • D = 0
  • E = 0

Piecewise Functions


  • these files will allow you to plot a piecewise function with up to six pieces 
  • these files will allow you to toggle the type of endpoints each constraint has
  • these files will allow you to see integer x coordinates within the constraints
  • these files will allow you to show behavior as x approaches boundary values from the left or right 

Piecewise 101: 1 piece function
  • DESMOS file
Piecewise 101: 4 piece function
  • DESMOS file​
Piecewise 101: 2 piece function
  • DESMOS file​
Piecewise 101: 5 piece function
  • DESMOS file​
Piecewise 101: 3 piece function
  • DESMOS file​
Piecewise 101: 6 piece function
  • DESMOS file​

Step Functions


Step Functions 101: Ceiling Function
  • DESMOS File
  • this is also called the greatest integer function 
  • notice the types of endpoints 
Step Functions 101: Floor Function
  • DESMOS File
  • this is also called the least integer function 
  • notice the types of endpoints 

Absolute Value Functions


Absolute Value Function 101: Parent Absolute Value Function and its reflection
  • DESMOS File
Absolute Value Function 101: All A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of the different types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection
    • 0 < A < 1 Vertical Compression
    • A = 1 Parent Function
    • A > 1 Vertical Stretch
Absolute Value Function 101: All Negative A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of the NEGATIVE A types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection


Absolute Value Function 101: All A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of the different types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection
    • 0 < A < 1 Vertical Compression
    • A = 1 Parent Function
    • A > 1 Vertical Stretch

Absolute Value Function 101: All A transformations of Parent Absolute Value Function
  • DESMOS File
  • dynamically shows all of the different types of A transformation
  • A transformations 
    • A < -1 Vertical Stretch and Vertical Reflection
    • A = -1 Vertical Reflection
    • -1 < A < 0 Vertical Compression and Vertical Reflection
    • 0 < A < 1 Vertical Compression
    • A = 1 Parent Function
    • A > 1 Vertical Stretch

Picture

Polar Coordinate System


Continuous Functions


Not Continuous Functions


Picture
This is a link to Desmos Tutorial
  • Using Desmos Link
  • Desmos Graphing Calculator Link
Picture
This is a link to Desmos Geometry Tutorial
This program has yet to develop a save feature, but you can copy and paste links.
  • Using Desmos Geometry Link
  • Desmos Geometry Link

Picture
This is a link to Desmos Teacher Website
  • Desmos Teacher Link
  • Desmos Teacher Link
Picture
This is a beta program still in development, so no tutorials yet
  • Desmos Matrix Calculator Link

Desmos User Guide





Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you