The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 3)3 – 4. The point (

Question

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

GPT-5 mini · Answer

(–3, –4)

Explanation: g(x) = (x+3)^3 − 4 is f(x) shifted left 3 and down 4, so (0,0) → (0−3, 0−4) = (−3, −4).

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

(3, 4)
(3, –4)
(–3, 4)
(–3, –4)

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

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 + 3)3 – 4. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(3, 4)
(3, –4)
(–3, 4)
(–3, –4)