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?

Question

asked Aug 27, 2019 141k views

2 Answers

Swasidhant · Answer 1 · 2019-09-01T11:21:00+0000

Answer:

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.