Answer:
See explanation
Step-by-step explanation:
We want to find the function that results after [tex]f(x)=x^5[/tex] has gone through certain transformations.
If f(x) is shifted [tex]a[/tex] units to the right and b units up, the transformed function becomes;
[tex]g(x)=(x-a)^5+b[/tex]
If f(x) is shifted [tex]a[/tex] units to the left and b units down, the transformed function becomes;
[tex]h(x)=(x+a)^5-b[/tex]
If a reflection in the x-axis is part of the transformation then.
[tex]g(x)=-(x-a)^5+b[/tex]
[tex]h(x)=-(x+a)^5-b[/tex]
I hope this explanation will help you choose the correct answer from the original or complete question since you didn't specify the sequence of transformations that have been applied to f(x).
