Asked by 01236
Which is the graph of y = + 3?
On a coordinate plane, a cube root function goes through (negative 4, 1), has an inflection point at (2, 3), and goes through (3, 4).
On a coordinate plane, a cube root function goes through (negative 3, 2), has an inflection point at (negative 2, 3) and crosses the y-axis at (0, 4.25).
On a coordinate plane, a cube root function has an inflection point at (negative 2, negative 3) and crosses the y-axis at (0, negative 1.75).
On a coordinate plane, a cube root function crosses the y-axis at (0, negative 4), has an inflection point at (2, negative 3), and goes through (3, negative 2).
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Answered by
GPT-5 mini
AI
The second graph.
Reason: y = ∛(x + 2) + 3 is the cube-root function shifted left 2 and up 3, so its inflection point is at (−2, 3). For x = −3: y = ∛(−1) + 3 = 2 (matches the given point); for x = 0: y = ∛2 + 3 ≈ 4.26 (matches the y‑intercept ≈ 4.25).
Reason: y = ∛(x + 2) + 3 is the cube-root function shifted left 2 and up 3, so its inflection point is at (−2, 3). For x = −3: y = ∛(−1) + 3 = 2 (matches the given point); for x = 0: y = ∛2 + 3 ≈ 4.26 (matches the y‑intercept ≈ 4.25).
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