Describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3. Give the order in which they must be performed to obtain the correct graph

B

Step-by-step explanation:

Step-by-step explanation:

We have been given a parent function  and we need to transform this function into .

We will be required to use three transformations to obtain the required function from .

First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to .

Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes .

Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as

180

step-by-step explanation: