Which function results after applying the sequence of transformations to f (x) = x^5 reflect over the y axis; shift 1 unit left; vertically compress by 1/3

Question

Mathematics

Ethan Bullock

30 December, 15:40

Which function results after applying the sequence of transformations to f (x) = x^5 reflect over the y axis; shift 1 unit left; vertically compress by 1/3

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Answers (2)

Know the Answer?

Arden · Answer 1

The correct answer is f (x) = 1/3 (-x+1) ^5. All the other answers show no reflect that match the f (x) = x^5.

Madeline · Answer 2

For this case we have the following function:

f (x) = x ^ 5

We apply the following transformations:

reflect over the y axis:

f (x) = ( - x) ^ 5

shift 1 unit left:

f (x) = ( - x + 1) ^ 5

vertically compress by 1/3:

f (x) = (1/3) ( - x + 1) ^ 5

Answer:

A function that results after applying the sequence of transformations is:

f (x) = (1/3) ( - x + 1) ^ 5