Question

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

Answer 1

Answer

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.

Answer 2

Answer:

C. $g(x)=-4$

Step-by-step 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.