Respuesta :
Answer:
[tex]f(x)=\frac{1}{2}Cos(\frac{1}{4}x)-1[/tex]
Step-by-step explanation:
Consider the function f(x) = cos x. Noted below are the points of transformations of the cos function
- The function f(x) = [tex]\frac{1}{a}[/tex] cos x is a vertical compression of the original by a factor of a
- The function f(x) = cos [tex](\frac{1}{b}x)[/tex] is a horizontal stretch of the original function by a factor b
- The function f(x) = cosx - c is the original function shifted down c units
Considering the points above, we can now write down the "transformed" cosine function's equation:
f(x) = [tex]\frac{1}{2}Cos(\frac{1}{4}x)-1[/tex]