The correct answer is option A which is g(x) is shifted 4 units to the right and 5 units up.
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The functions are:-
g(x) = (x − 4) ² + 5
f(x) = x3
When we plot the graph of both the functions we found that the graph of the function g(x) is shifted towards the right by 4 units and towards up by 5 units the graph is also attached with the answer.
Therefore the correct answer is option A which is g(x) is shifted 4 units to the right and 5 units up.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ1