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This section is based on this slider document


Natural Logarithm 101
  • DESMOS File
  • this file will show 
    • x intercept
    • y intercept
    • points with particular integer x values
    • points with particular integer y values
    • vertical asymptote

Vertical Asymptote and Integer y coordinates

Integer x coordinates 


Natural Logarithm and its Inverse


Transformation of Natural Logarithm and its Inverse


A Transformations of Natural Logarithm


A < -1 Vertical Stretch and Vertical Reflection of Common Logarithm


-1 < A < 0 Vertical Compression and Vertical Reflection of Natural Logarithm

A = -1 Vertical Reflection of Natural Logarithm


0 < A < 1 Vertical Compression of Natural Logarithm


A > 1 Vertical Stretch of Natural Logarithm


 A, H, & K Transformations of Natural Logarithm Function


This section is based on this slider document

Natural Logarithm 101: A H K Transformations
  • DESMOS File
  • this file will show 
    • x intercept
    • y intercept
    • points with particular integer x values
    • points with particular integer y values
    • vertical asymptote

Vertical Stretch & Vertical Reflection 
(h,0) and A < -1

Vertical Stretch & Vertical Reflection 
(0,k) and A < -1

Vertical Stretch & Vertical Reflection 
(h,k) and A < -1

Vertical Compression & Vertical Reflection 
(0,k) and -1 < A < 0

Vertical Compression & Vertical Reflection 
(h,0) and -1 < A < 0

Vertical Compression & Vertical Reflection 
(h,k) and -1 < A < 0

Vertical Compression  
(0,k) and 0 < A < 1

Vertical Compression  
(h,0) and 0 < A < 1

Vertical Compression  
(h,k) and 0 < A < 1

Vertical Stretch  
(0,k) and  A > 1

Vertical Stretch  
(h,0) and  A > 1

Vertical Stretch  
(h,k) and  A > 1

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This is a link to Desmos Tutorial
  • Using Desmos Link
  • Desmos Graphing Calculator Link
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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

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This is a link to Desmos Teacher Website
  • Desmos Teacher Link
  • Desmos Teacher Link
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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