Describe how the transformed function below is obtained from its parent function. . y=(x-10)^3. . a.The parent function y=x^3 is shifted 10 units to the right. b.The parent function y=x^3 is shifted 10 units to the left.. c.The parent function y=(-x)^3 is strectched vertically by a factor of 10.. d.The parent function y=x^3 is shifted 10 units down.

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Hagrid Hagrid · Answer 1 · 2016-07-01T10:19:08-04:00

The correct answer to this question is: "a.The parent function y=x^3 is shifted 10 units to the right."

Nothing is being added to y to move it up or down.

Nothing is multiplying y to stretch it.

The only thing that is modified is the x values .. which determine right and left positions

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OrethaWilkison OrethaWilkison · Answer 2 · 2019-05-21T05:33:14-04:00

Answer:

Option a is correct

The parent function y=x^3 is shifted 10 units to the right.

Step-by-step explanation:

Horizontal shift:

If a parent function y = f(x);

then; the transformation y = f(x+h) is either horizontal right or left.

If h < 0, then the shift is h units right

If h > 0, then the shift is h units left

As per the statement:

The transformed function below is obtained from its parent function \(y=x^3\) is:

\(y = (x-10)^3\)

By definition of horizontal shift:

h = -10 < 0

⇒so the graph is shifted to 10 units right

Therefore, The parent function y=x^3 is shifted 10 units to the right.