Precalculus- Multiple Transformations of Functions Portfolio-Animations

Content Type

User Generated

User

nvesbeprwrjryy

Subject

Mathematics

Course

precalc

School

Texas connections academy

Description

Animation design is something that is used in every cartoon film you’ve seen, every flip-book you’ve thumbed through, and every picture you’ve zoomed in on with your phone. Mathematics plays a key role in these things you enjoy on a regular basis.

For full credit on this portfolio, please fill in parts 1, 2, and 3. Make sure that the following are included in your response:

1. All tables are complete, and mathematical calculations are accurate.

2. The answers to each question are filled in completely..

Unformatted Attachment Preview

Name Date Let’s Dance! Portfolio Worksheet PRECALCULUS A Directions: Animation design is something that is used in every cartoon film you’ve seen, every flip-book you’ve thumbed through, and every picture you’ve zoomed in on with your phone. Mathematics plays a key role in these things you enjoy on a regular basis. For full credit on this portfolio, please fill in parts 1, 2, and 3. Make sure that the following are included in your response: 1. All tables are complete, and mathematical calculations are accurate. 2. The answers to each question are filled in completely. Follow the Dancing Robot Use the graph of f ( x ) = x3 and transformations to animate the robot dancing. © 2016 Connections Education LLC. All rights reserved. Part 1: Charting the Robot’s Dance Moves Complete the table to fill in the missing values that describe the transformation that needs to take place. Would the transformation be a rotation, reflection, translation, or dilation? What type of transformation would this be? Jump straight up 4 units. What would the new equation be? (based on the original equation of 𝑓𝑓(𝑥𝑥) = 𝑥𝑥 3) Move to the left 2 units. Flip his arms (move his right arm up and his left arm down). Spread his arms twice as wide. © 2016 Connections Education LLC. All rights reserved. 2 Part 2: Creating Your Own Dance Story The robot wants to create a dance that takes him from his starting position in the first picture to his ending in the second picture. © 2016 Connections Education LLC. All rights reserved. 3 1. Complete the table. Describe the combination of transformations of f ( x ) = x3 that would take the dancing robot from his starting position to his ending position. Transformation Description 1st transformation 2nd transformation 3rd transformation 2. Using the original graph of f ( x ) = x 3 , what would the resultant equation be after all of the transformations you chose in question 1 have taken place? 3. Is there more than one way to get the robot from the first picture to the second? Why or why not? Make sure to justify your reasoning. Part 3: Extending the Idea 1. If you wanted to model movements with both of the robot’s arms in the air, what function would you choose as the original model? Could you still do the same transformations with this new equation? 2. Using any power function of your choice, create your own dance for the robot. Make sure you include three to five dance moves. Graph and provide the transformation equation for each. © 2016 Connections Education LLC. All rights reserved. 4 © 2016 Connections Education LLC. All rights reserved. 5
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Explanation & Answer

hi! with a lot of hard work and proper attention, i have completed your work.i have written all the answers and fill all the blank boxes. in the last question i have made 5 graphs with equations to show the dancing movement step by step.i hope you would like my work and appreciate me. thank you so much. if you would have any problem regarding this in future then you can ask me, i will be here for your help.thanks

Name

Date

Let’s Dance! Portfolio Worksheet
PRECALCULUS A
Directions: Animation design is something that is used in every cartoon film you’ve
seen, every flip-book you’ve thumbed through, and every picture you’ve zoomed in
on with your phone. Mathematics plays a key role in these things you enjoy on a
regular basis.
For full credit on this portfolio, please fill in parts 1, 2, and 3. Make sure that the
following are included in your response:
1. All tables are complete, and mathematical calculat...