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

Explanation:

A

Answer 2

A)
`y= (1)/(3) \sqrt[3]{x}-4`

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