Question

How is the graph of the parent function of y = RootIndex 3 StartRoot 0.5 x EndRoot transformed to produce the graph y = RootIndex 3 StartRoot x EndRoot?

Answer 1

Answer:

Horizontal stretch by a factor of ½.

Step-by-step explanation:

We were given the parent function as:

$y = \sqrt[3]{0.5x}$

This was transformed to:

$y = \sqrt[3]{x}$

Let

$g(x) = \sqrt[3]{0.5x}$

and

$f(x) = \sqrt[3]{x}$

Then:

$f(x) = g(2x)$

Hence the parent function has been stretched horizontally by a factor of 1/2 to obtain the transformed function.

Answer 2

Answer: Reflect over the horizontal axis, and then translate the graph up 3 units.

Step-by-step explanation: Just did it for algebra