PLEASE HELP I REALLY NEED THIS

Question

Part 1: Writing a Robot Dance (7 pts) 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. There are 3 transformations that take place. Describe the type and value of each transformation of f(x)=x3 that would take the dancing robot from his starting position (graph on the left) to his ending position (graph on the right). This part is asking for a verbal description, no equations/math notation needed. Example Response: "Transformation 1: The graph shifted vertical/horizontally # units to the up/down/left/right" (3 points



Part 2: Write/Type the transformation equation (2 pts) Using the original function/equation of f(x)=x3 , what would the resultant equation be after all of the transformations you identified in Part 1 have taken place? Example Response: "f(x)=15(x−9)3+7 "

Part 3: Does the order of transformations effect where the resultant graph will end up? Why or why not? Use complete sentences. :

Part 4: Create your own robot dance. (8 pts) Note: Before beginning this final part, print out the blank graph provided to you on the course message board Padlet (Unit 3) for this sample work. If you are unable to print, you can draw your own x,y coordinate plane on a blank piece of paper. Using any power function of your choice, create your own dance for the robot. a. Graph and give the equation for the parent function. (1 pt) b. Plan 3 to 5 dance moves: Graph and provide the transformation equations for each move, separately – graph each transformation with its individual function (being sure to note which equation goes to which graph). Lastly, write and graph the final function with all transformations together.

Answer 1

There are no pictures provided, but here is an example:

If f(x) = x³, then moving three units to the right gives f(x-3) = (x-3)³. If the next robot move is 2 units upward, then we have f(x-3) + 2 = (x-3)³ + 2. If the final movement is to leap across the y-axis so that the final position is symmetric to the y-axis with respect to the second position, then f(-x-3) + 2 = (-x-3)³ + 2.