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Which of the following is not an example of a parent function?

y=x
y=2x^3
y=1/2
y=2^x

2 Answers

4 votes

Answer:(b) y=2x^3

Explanation:

User Rutvik Gumasana
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Answer:

(b) y=2x^3

Explanation:

The function y=2x^3 is an example of the parent function y=x^3 being vertically scaled by a factor of 2. As such, it is not the parent function.

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Additional comment

A parent function is one that has not been translated or scaled in any way. One could argue that the parent function of the form y=constant is y=1, so that the function y=1/2 has been scaled by a factor of 1/2. In this problem, we recognize the parent function y=x^3 has clearly been scaled to get y=2x^3, so the latter is not an example of a parent function.

If this is a "check all that apply" question, then y=1/2 is another reasonable answer.

User Leslee
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