Question

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(4, −7)
(−4, −7)
(4, 7)
(−4, 7)

Answer 1

(4, −7)

Reason: g(x) = f(x − 4) − 7 shifts f right 4 and down 7, so (0,0) → (0+4, 0−7) = (4, −7).