Question

Compared with the graph of the parent function, which equation shows only a vertical compression by a factor of 1/3 and shift downward of 4 units?

Answer 1

Answer:

A

Step-by-step explanation:

next one is D

Answer 2

Answer:

A) $y= \frac{1}{3} \sqrt[3]{x}-4$

Step-by-step explanation:

We are given cube roots in the given options.

So, the parent function would be $y= \sqrt[3]{x}$.

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,

$y= \frac{1}{3} \sqrt[3]{x}-4$ would be vertical compression by a factor of 1/3 and shift downward of 4 units.