Desmos Art Project

For this project, you are going to show off your understanding of function transformations, and your skills with the Desmos Graphing Calculator. Your assignment: create a piece of art using function transformations on Desmos.

• Your piece of art can be
• Original or a reproduction (cite your source if reproducing an existing image)
• Realistic or abstract
• You must use at least 3 parent functions

Parent functions we have studied:

Linear

Exponential

Absolute value

Square root

Cubic

Cube Root

Parent functions we have not studied, but you can use them if you want to have some extra fun:

Sine

Rational

You may also use these, but they don’t count as parent functions:

Horizontal lines                         is a real number

Vertical lines                                 is a real number

• You must use ALL of the function transformations we have studied:
• Translations
• Reflections
• Dilations
• All of your translated functions should be written in terms of translations of the parent function
• For example, graph  instead of
• You must restrict your functions using inequalities
• You must include some shading
• You must include a written description of your art showcasing your understanding of the academic language of functions and transformations (100-300 words)
• Writing submitted as a comment in the messages on ManageBac, along with a link to your work of art.
• For example, if I drew a picture with some people in it, part of my description might look like this: In the picture, the girl’s hair is made up of transformations of the quadratic parent function. I had to translate them vertically and horizontally, and used different dilations to make the hairs go in slightly different directions. I also used different restrictions so that the hairs were different lengths.
• Your art must be beautiful
• You must have fun doing this project

Rubric

 0No attempt to meet requirement 1Some attempt to meet requirement 2Meets requirements 3Exceeds requirements Parent Functions Less than three used Three used More than three used Transformations Does not include all three All three included Multiple instances of all three performed on one function at the same time Notation Some functions not written in function notation All functions written in function notation xxx Restrictions Restrictions included with inconsistent notation Restrictions included with consistent notation Restrictions included with consistent, efficient notation(ie: always uses double inequalities) Shading 1 or 2 areas shaded More than 2 areas shaded Multiple shadings, including shadings where restrictions are other functions (not just horizontal/vertical lines) Academic language Meets minimum word count, but shows limited understanding of function language Shows good understanding of function language Shows exemplary understanding of function language Beautiful and fun (attention to detail, personal engagement Shows some attention to detail and personal engagement Shows good attention to detail and personal engagement Totally beautiful and obviously fun!

20 points total

For a score of                         earn at least this many points

7                                        18

6                                        16

5                                        13

4                                        10

3                                        7

2                                        5