1. Complete the table. Describe the combination of transformations of f (x) = x' that would take the dancing robot from his starting position to his ending position. Transformation Description 1st transformation translation 2nd transformation reflection 3rd transformation dilation 2. Using the original graph of f (x) = x, what would the resultant equation be after all of the transformations you chose in question 1 have taken place? f (x ) = x^ 3+1 I 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