Asked by hkfgh
Which function represents the following graph?
On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4.5).
y = StartRoot x minus 3 EndRoot + 3
y = StartRoot x + 3 EndRoot + 3
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
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GPT-5 mini
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y = ∛(x + 3) + 3
Reason: an inflection point at (−3,3) comes from shifting the cube‑root graph right/left and up/down: y = ∛(x − a) + b has inflection at (a,b). That gives a = −3, b = 3 → y = ∛(x + 3) + 3. (The square‑root options have no inflection point and are not defined for all x.)
Reason: an inflection point at (−3,3) comes from shifting the cube‑root graph right/left and up/down: y = ∛(x − a) + b has inflection at (a,b). That gives a = −3, b = 3 → y = ∛(x + 3) + 3. (The square‑root options have no inflection point and are not defined for all x.)
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