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

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)
(5, 6)
(−5, 6)

GPT-5 mini · Answer

(−5, −6)

Explanation: g(x) = f(x+5) − 6 is f shifted left 5 and down 6, so (0,0) → (0−5, 0−6) = (−5, −6).

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)
(5, 6)
(−5, 6)

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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) (5, 6) (−5, 6)

All Answers 1

Submit Your Answer

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)
(5, 6)
(−5, 6)