Question

Use the image to answer the question.

An s-shaped curve is plotted on a coordinate plane. Both axes range from 0 to 5 in increments of 1.
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Sam graphed a cube root function. What is the equation of the function Sam graphed?

(1 point)

y=2x−1−−−−−√3+3


y=x+1−−−−−√3−3


y=x−1−−−−−√3+3


y=2x+1−−−−−√3−3

Answer 1

y = ∛(x − 1) + 3

Reason: The cube-root curve's inflection point (where the S-shape is centered) is at (1, 3). That means the inside of the cube root is zero when x = 1 and the graph is shifted up 3, so the equation is y = ∛(x − 1) + 3.