Which of the following describes the graph of y=\sqrt[3]{8x-64}-5 compared to the parent cube root function?

Answer:Stretched by a factor of 2 and translated 8 units right and 5 units downStep-by-step explanation:Given  [tex]y =\sqrt[3]{8x-64}-5[/tex] Taking greatest common factor. [tex]y =\sqrt[3]{8 \times (x-8)}-5[/tex] Separating the cube root over the multipliers [tex]y =\sqrt[3]{8} \times \sqrt[3]{x-8}-5[/tex] [tex]y = 2 \times \sqrt[3]{x-8}-5[/tex] The parent cube root function is [tex]y =\sqrt[3]{x}[/tex] Stretched by a factor of 2 is equal to [tex]y =2 \times \sqrt[3]{x}[/tex] Then, translated 8 units right is equal to [tex]y =2 \times \sqrt[3]{x - 8}[/tex] Finally, translated 5 units down is equal to [tex]y =2 \times \sqrt[3]{x - 8} - 5[/tex]