Question

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 (the first picture is the one with f(x)=x^3 )

Answer 1

Yes

There are multiple sequence of transformations that will transform the robot from the original position to the current position

Explanation:

The original position of the robot is (0,0) and it is modeled by
`y=x^3`

The current position is (3,1) and this is also modeled by
`y=(1)/(2)(x-3)^3+1`

Hence there is a translation followed by a dilation.

We could also do a translation followed by reflection to get the robot to its current position Or reflect, translate then dilate