Question

The graph of the function f(x) = 5 cos (2x) is a reflection over the x-axis of the graph of g(x) =

Answer 1

Answer:

$g(x)=-5\cos (2x)$

Step-by-step explanation:

The given function is

$f(x)=5\cos (2x)$

If a function reflected over the x-axis, then x-coordinate remains same but the sign of y-coordinate is changed.

$P(x,y)\Rightarrow P'(x,-y)$

If function f(x) is a reflection over the x-axis to get the of g(x), then the resultant function is

$g(x)=-f(x)$

Substituting the value of function f(x), we get

$g(x)=-5\cos (2x)$

Therefore, the required function is $g(x)=-5\cos (2x)$.