Question

Which function represents g(x), a reflection of f(x) = 4 across the x-axis?

g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4
g(x) = 4

Answer 1

C.
`g(x)=-4`

Explanation:

We have been given formula of a function
`f(x)=4` and we are asked to find the function g(x) that represents the reflection of function f(x) across the x-axis.

Since we know that the rule of reflection of a function across x-axis is:

`f(x)\rightarrow-f(x)`

Since the value of our function f(x) is 4, so after reflecting across the x-axis it will be negative.

So after reflecting function f(x) across x-axis, we will get our new function g(x) as:

`g(x)=-4`

Therefore, the function
`g(x)=-4` represents a reflection of
`f(x)=4` across the x-axis and option C is the correct choice.

Answer 2

g(x) = −4

Explanation

The reflection on the X-axis changes the x-coordinates the signs. f(x) =4 are the points that lies on the line x=4.

When reflected across the x-axis, it will lie in the line x=-4.

So, the function g(x) = -4.