Question

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

Answer 1

The answer is D. A is f(x) =1/4 (8)x

Explanation:

Answer 2

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)`.