17
QuizMultiple Choice

Square Root and Cube Root Functions — Test

Question 17 • Algebra 2 with Probability

Which of the following describes the graph of y is equal to cube root of 8 x minus 64 minus 5 compared to the parent cube root function?

Answer
A
stretched by a factor of 8 and translated 8 units right and 5 units down
B
stretched by a factor of 2 and translated 64 units right and 5 units down
C
stretched by a factor of 8 and translated 64 units right and 5 units down
D
stretched by a factor of 2 and translated 8 units right and 5 units down

Explanation

Rewrite the expression inside the cube root as 8(x − 8). Since ∛8 = 2, the function becomes y = 2∛(x − 8) − 5. The factor 2 gives a vertical stretch by 2, x − 8 shifts the graph 8 units right, and −5 shifts it 5 units down, matching choice B.

AI-written and checked against the verified answer.

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