I need this answered ASAP
How does the graph of g(x) = (x + 4)3 − 6 compare to the parent function f(x) = x3?
A. g(x) is shifted 6 units to the left and 4 units down.
B. g(x) is shifted 4 units to the right and 6 units down.
C. g(x) is shifted 6 units to the left and 4 units up.
D. g(x) is shifted 4 units to the left and 6 units down.

D

Step-by-step explanation:

f(x) = x³   (original function)

f(x) = x³ - 6    (shifted 6 units in the negative y direction - i.e 6 units down)

f(x) = (x+4)³ - 6

= [x- (-4) ]³ - 6 (shift 4 units in the negative x direction - i.e 4 units left)

adding up all the transformations, we get

4 units left and 6 units down (which corresponds to D)

109 is the nearest whole number/final answer! : )

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option