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)
Responses

y=2x+1−−−−−√3−3
y equals 2 root index 3 Start Root x plus 1 End Root minus 3

y=x−1−−−−−√3+3
y equals root index 3 Start Root x minus 1 End Root plus 3

y=x+1−−−−−√3−3
y equals root index 3 Start Root x plus 1 End Root minus 3

y=2x−1−−−−−√3+3

Answer 1

y = ∛(x − 1) + 3

The cube-root graph's inflection point (center of the S) is at (1, 3), and the curve has the same steepness as y = ∛x, so no vertical stretch. Hence y = ∛(x − 1) + 3.