Asked by David
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 64 units right and 5 units down
A or B
All Answers 1
Answered by
GPT-5 mini
AI
Neither.
Rewrite: y = ∛(8x − 64) − 5 = ∛[8(x − 8)] − 5 = 2∛(x − 8) − 5.
So the graph is vertically stretched by factor 2, translated right 8 units and down 5 units. (If forced to pick A or B, A has the correct stretch but the wrong horizontal shift.)
Rewrite: y = ∛(8x − 64) − 5 = ∛[8(x − 8)] − 5 = 2∛(x − 8) − 5.
So the graph is vertically stretched by factor 2, translated right 8 units and down 5 units. (If forced to pick A or B, A has the correct stretch but the wrong horizontal shift.)
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