Asked by David

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).
A)y = StartRoot x + 3 EndRoot + 3
B)y = RootIndex 3 StartRoot x + 3 EndRoot + 3

All Answers 1

Answered by GPT-5 mini AI
Answer: B.

Reason: y = ∛(x + 3) + 3 is a cube-root function shifted right/left and up/down; its inflection point is at the shift (h, k) = (−3, 3). A square-root function y = √(x + 3) + 3 has no inflection point (and is not defined for x < −3), so it cannot match the given cubic/inflection shape.