Question

Which function results after applying the sequence of transformations to f(x)=x^5?

. Reflection over the x-axis

. Vertically Stretch by a factor of 2

. Shift down 1 unit


ANSWERS
---------------

A. g(x)=-2x^5-1

B. g(x)=-(2x)^5-1

C. g(x)=-2x^5+1

D. g(x)=-2(x-1)^5

Need this solved urgently! This is for apex. Also please explain how you got the answer, not just the answer itself.

Answer 1

Answer: Option A

Explanation:

Given the parent function
`f(x)=x^5`, it can be transformated:

If
`f(x)=x^5-k`, then the function is shifted k units down.

If
`f(x)=a(x^5)` and
`a > 1` it is vertically stretched it, but if
`0 < a < 1` it is vertically compressesd.

If
`f(x)=-(x^5)`, then the function is reflected over the x-axis.

Then, if the function given is reflected over the x-axis, it is vertically streteched by a factor o 2 and it is shifted down 1 units, the function that results after this transformations is:

`g(x)=-2(x^5)-1`

`g(x)=-2x^5-1`