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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
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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.

Respuesta :

luisejr77

Answer: Option A

Step-by-step explanation:

Given the parent function [tex]f(x)=x^5[/tex], it can be transformated:

If  [tex]f(x)=x^5-k[/tex], then the function is shifted k units down.

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

If  [tex]f(x)=-(x^5)[/tex], 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:

[tex]g(x)=-2(x^5)-1[/tex]

[tex]g(x)=-2x^5-1[/tex]

Answer:

A

Step-by-step explanation:

Apex

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