Question

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

Answer 1

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

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

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

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

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

Answer 2

Answer:

The answer is D. A is  f(x) =1/4 (8)x

Step-by-step explanation: