The graph of f(x)=cos(x) is transformed to a new function, g(x) , by reflecting it over the x-axis and shifting it 2 units down.

What is the equation of the new function g(x) ?

Respuesta :

Answer:

g(x) = -cos x - 2

Step-by-step explanation:

g(x) = -cos x - 2

The - before the cos reflects it in the x -axis and the - 2 moves it 2 units down.

The g(x) is a reflection of the f(x) then the trigonometric function will be negative but intersect each other then subtract 2. Then g(x) will be [tex]\rm g(x) = -cosx - 2[/tex]

What is trigonometry function?

Trigonometry functions are function that repeats themselves after a certain interval of time.

Given

The function f(x) is a cosine function.

[tex]\rm f(x) = cos\ x[/tex]

If the g(x) is a reflection of the f(x) then the trigonometric function will be negative.

[tex]\rm g(x) = -cos\ x[/tex]

But f(x) and g(x) will intersect each other hence we subtract 2 from the g(x).

Then

[tex]\rm g(x) = -cos\ (x) - 2[/tex]

More about the trigonometry function link is given below.

https://brainly.com/question/22698523