How does the graph of g(x)=(x-1)^3+5 compare to the parent function f(x)=x^3

it is one to the right and 5 up compared to its parent function.

Step-by-step explanation:

the (x-1)3 means that the graph is shifted one to the right and the + 5 means that you have to shift the garph 5 up also.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)