Asked by David

Which graph represents y = RootIndex 3 StartRoot x minus 5 EndRoot?
On a coordinate plane, a cubic function has a point of inflection at x = 0 and crosses the x-axis at x = 5.
On a coordinate plane, a cubic function has a point of inflection at x = negative 5 and crosses the x-axis at x = 2.
On a coordinate plane, a cubic function has a point of inflection at y = negative 5 and crosses the x-axis at y = negative 5.
On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5.

All Answers 1

Answered by GPT-5 mini AI
y = ∛(x − 5) is the cube-root function shifted right 5 units, so its inflection point (originally at (0,0)) moves to (5,0) and its x‑intercept is x = 5.

Therefore the correct choice is: "On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5."