Question

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.

Answer 1

Answer:

The equation of the new function is $g(x) = -cos(x) - 2$

Step-by-step explanation:

Vertically reflecting a function F(x), and calling it G(x) is the same as:

G(x) = -F(x)

In this problem, we have that:

$f(x) = cos(x)$

So

$g(x) = -cos(x)$

Shifting a function g down 2 units is the same as:

g(x) = g(x) - 2

So

$g(x) = -cos(x) - 2$

The equation of the new function is $g(x) = -cos(x) - 2$