Question

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

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.

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