The equation of the graph is
Attached Figure / Diagram
A
y = (x - 3)3
B
y = (x + 3)3
C
y = x3 - 27
D
y = -x3 + 27
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
y = x3 - 27, y = -27 \(\to\) (0, -27)
when y = 0, x = 3 (3, 0)
Source: Myschool Past Questions Archive (Record #33031)