Respuesta :
Answer:
The first function is shifted down 5 units, strechted by a scale factor of 8, and shifted right side 8 units.
Step-by-step explanation:
The given function is
[tex]y=\sqrt[3]{8x-64}-5[/tex]
Where its parent function is [tex]y=\sqrt[3]{x}[/tex]
Observe that the binomial inside the cubic root has a GCF,
[tex]y=\sqrt[3]{8(x-8)}-5\\[/tex]
The image attached shows a comparison between these two functions.
Basically, the first function is shifted down 5 units, strechted by a scale factor of 8, and shifted right side 8 units.

