we have [tex] f(x)=x^3 [/tex] which is a cubic function.
and [tex] =(x-1)^3+4 [/tex].
from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .
Answer:
The graph of g(x) will be shifted 4 units up and 1 unit to the right
Step-by-step explanation:
The parent function f(x) = x^3 is transformed to g(x) = (x – 1)^3 + 4
Parent function f(x)= x^3
If any number is added at the end then the graph will be shifted up
If any number is subtracted from x then graph will be shifted right
f(x)----> f(x) + a (shifted 'a' units up)
f(x) ----> f(x-a) (shifted 'a' units right)
g(x) = (x – 1)^3 + 4
The graph of g(x) will be shifted 4 units up and 1 unit to the right
the graph is attached below
