Answer:
B
Step-by-step explanation:
f(x) = x³
g(x) = (x - 3)³ - 2
The inside of the parenthesis represents a horizontal shift
If the number operation being done to x inside of the parenthesis is adding ( or if the number is positive ) then the graph will shift to the left. If the operation being done inside of the parenthesis to x is subtraction ( or if the number is negative ) then the graph will shift to the right.
The operation being done is subtraction therefore it will shift to the right. So it will go 3 units to the right.
the number on the outside works like a y intercept. if it's positive it goes up, if it's negative it goes down. the number is -2 so it will go down 2 units
we can conclude that g is shifted 3 units right and 2 units down
the answer is B
