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

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answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11