How does the graph of g(x) = (x - 3)^3 - 2 differ from the group of f(x) = x^3? A. g is shifted 3 units right and 2 units up.
B. g is shifted 3 units right and 2 units down.
C. g is reflected across the y-axis.
D. g is rotated 90* clockwise.

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

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.