Question

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(5, −6)
(−5, −6)

Answer 1

(-5, −6)

Reason: g(x) = (x + 5)^3 − 6 is f shifted left 5 and down 6. The point (0,0) moves to (0 − 5, 0 − 6) = (−5, −6). You can also check g(−5) = 0 − 6 = −6.