Answer:
Step-by-step explanation:
Given is a graph of parent funciton
[tex]f(x) = x^3[/tex]
This graph is made into a series of transformations as horizontal shift by 1 unit to the right and vertical shift of 4 units up to get new funciton as
[tex]g(x) = (x-1)^3+4[/tex]
Hence we must have a graph which has horizontal shift of 1 unit to the right and vertical shift 4 units up.
Option A is the same as given hence incorrect
Option B has horizontal shift to left hence incorrect
Option C has vertical shift down by 5 units incorrect
Option D is correct since it passes through (1,4) and also hor shift, vert shift are right