The graph of g(x) is the graph of f(x)=x+6 reflected across the x-axis. which equation describes the function g? a. g(x)=x−6 b. g(x)=−x−6 c. g(x)=−6x−6 d. g(x)=−x+6

ANSWER

The correct answer is

EXPLANATION

The mapping for reflection across the x-axis is given by

Given . We can let

we can write the ordered pair or as the ordered pair of the preimage of .

The image function will have the ordered pair

or

.

That is, we negate all the y-coordinates.

Therefore

.