Unit 5 Portfolio
Creating Art Using Transformations and Inverses of Functions
SCCCR Standards: A2.FBF.3 Describe the effect of the transformations (), () + , ( + ), and combinations of such
transformations on the graph of = () for any real number . Find the value of given the graphs and write the equation of
a transformed parent function given its graph.
Objective: Based on what I know about transformations and inverse functions, I can create functions with transformations,
describe the transformations that occurred compared to the parent function, and find the inverses of these functions.
Directions: You have been commissioned to create a piece of art using six (6) functions and at least
three (3) transformations.
The six functions are as follows:
● Cubic function and its inverse
● Exponential function and its inverse
● Rational function and its inverse
The three transformations are as follows:
● Vertical stretch
● Horizontal translation
● Vertical translation
1. Write the cubic, exponential, and rational functions you are choosing. State the transformations
that occurred compared to the parent function.
2. Then write the inverse of each function, showing how you got the inverse algebraically.
3. Graph all six of your functions on the same graph (you can use Desmos for this), creating your
work of art. Include a screenshot of your graph (art).
4. (Optional) Give your art a title and state the price.
5. Explain how you can use symmetry to determine if you have correctly found the inverse of a
function.
View a sample portfolio submission here of parts 1-4. (Note: Frame, price tag, and people looking at art
are not required). Don’t forget to do #5!
Save your submission as a pdf. Upload your completed portfolio into the Unit 5 Robot Portfolio
Dropbox in Pearson Online Classroom (Connexus).
Grading Criteria
Cubic, exponential, and rational functions are present (6 points)
Vertical stretch, horizontal translation, and vertical translation are present(3 points)
Student states the transformations that occurred compared to the parent functions (3 points)
Accurate and thorough algebraic work is shown for finding the inverse functions (6 points)
All six functions are graphed on the same graph (1 point)
Accurate explanation for #5 is included (1 point)