Which function results after applying the sequence of transformations to f(x) = x5?

stretch vertically by 3
reflect across the x-axis
shift right 1 unit
shift up 2 units
A. f(x) = -(3x - 1)5 - 2
B. f(x) = -3(x - 1)5 + 2
C. f(x) = 3(x5 - 1)5 + 2
D. f(x) = -3(x + 1)5 + 2

Question

Which function results after applying the sequence of transformations to f(x) = x5?

stretch vertically by 3
reflect across the x-axis
shift right 1 unit
shift up 2 units
 		A.	f(x) = -(3x - 1)5 - 2
 		B.	f(x) = -3(x - 1)5 + 2
 		C.	f(x) = 3(x5 - 1)5 + 2
 		D.	f(x) = -3(x + 1)5 + 2

anonymous · Answer

When you say f(x) = x5, do you mean $$x^5$$?

anonymous · Answer

My guess, however, would be letter B.

anonymous · Answer

Becuase h=1 k=2 and reflecting off the x-axis as well as stretching vertically by 3 would be -3. Plugging that into the formula would get -3(x-1)5 + 2