The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the

Question

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(7, 9)
(–7, 9)
(9, 7)
(9, –7)

GPT-5 mini · Answer

(7, 9)

The transformation g(x) = f(x − 7) + 9 shifts the graph right 7 and up 9, so (0,0) → (0+7, 0+9) = (7,9).

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(7, 9)
(–7, 9)
(9, 7)
(9, –7)

All Answers 1

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The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)? (7, 9) (–7, 9) (9, 7) (9, –7)

All Answers 1

Submit Your Answer

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(7, 9)
(–7, 9)
(9, 7)
(9, –7)