Answer:
A) [tex]y= \frac{1}{3} \sqrt[3]{x}-4[/tex]
Step-by-step explanation:
We are given cube roots in the given options.
So, the parent function would be [tex]y= \sqrt[3]{x}[/tex].
First transformation need to apply is vertical compression by a factor of 1/3.
According to transformation's rule y=k f(x) is the vertical compression by a factor of k if 0<k<1.
And second transformation is shift downward of 4 units.
According to transformation's rule y=f(x) -d, would shift d units down.
Therefore,
[tex]y= \frac{1}{3} \sqrt[3]{x}-4[/tex] would be vertical compression by a factor of 1/3 and shift downward of 4 units.
