Which graph is the result of reflecting f(x) = (8)x across the y-axis and then across the x-axis?

Refrection of a function across the y-axis, changes the sign of x in the function.

Thus, given the function:
[tex]f(x)=(8)^x[/tex]
Refrection of the function across the y-axis will result in the function:
[tex]g(x)=(8)^{-x}[/tex]

Refrecting a function across the x-axis, changes the sign of the function.

Thus, refrecting the function:
[tex]g(x)=(8)^{-x}[/tex]
across the x-axis will result in the function:
[tex]h(x)=-(8)^{-x}[/tex]

The graph of [tex]f(x)=(8)^x[/tex] and [tex]h(x)=-(8)^{-x}[/tex] is attached.
The green curve represents the graph of the function [tex]f(x)=(8)^x[/tex], while the orange curve represents the graph of the function [tex]h(x)=-(8)^{-x}[/tex].

[tex]Which graph is the result of reflecting f(x) = (8)x across the y-axis and then across the x-axis?[/tex]

The answer is D. A is  f(x) =1/4 (8)x

Step-by-step explanation:

Assuming yo mean f(x)=8ˣ

to reflect the function across the y axis, multiply every x by -1
to reflect the function across x axis, multiply the whole function by -1

see attachment for graphs
red=original line

so across y axis would be

f(x)=(8)⁻ˣ
this is the blue line

reflection across x axis then would be
f(x)=-1(8)⁻ˣ
this is the green line

so the resulting graph is the green line

[tex]Which graph is the result of reflecting f(x) = (8)x across the y-axis and then across the x-axis?[/tex]

Check the picture below.
[tex]Which graph is the result of reflecting f(x) = (8)x across the y-axis and then across the x-axis?[/tex]