Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis? g(x) = 5(0.8)^–x g(x) = –5(0.8)^x g(x) = (0.8)^x g(x) = 5(–0.8)^x

The correct option is second.

Explanation:

The given function is,

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

The given given equation can be written as,

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

Because f(x)=y and g(x)=-y.

Therefore the second option is correct and the graph of both function is given below.

B. g(x) = –5(0.8)^x

Step-by-step explanation:

We have the function, .

It is required to reflect the function about x-axis.

Now, as we know,

Reflection across x-axis will flip the graph of the function and the function becomes .

So, the reflection of across x-axis will give the function

So, we see that,

Option B i.e. is correct.

answer: hey there,

the answer you are looking for is a..

hope this you!