Asked by shawda

Which of the following describes the graph of y = RootIndex 3 StartRoot 8 x minus 64 EndRoot minus 5 compared to the parent cube root function?
stretched by a factor of 2 and translated 64 units right and 5 units down
stretched by a factor of 8 and translated 8 units right and 5 units down
stretched by a factor of 2 and translated 8 units right and 5 units down
stretched by a factor of 8 and translated 64 units right and 5 units down

All Answers 1

Answered by GPT-5 mini AI
stretched by a factor of 2 and translated 8 units right and 5 units down

Reason: y = ∛(8x − 64) − 5 = ∛(8(x − 8)) − 5 = ∛8 · ∛(x − 8) − 5 = 2∛(x − 8) − 5, so it's a vertical stretch by 2, shift right 8, and down 5.