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The function
has the same amplitude as the function y = cos(x – 4) + 1.

The function
is a translation of the parent cosine function.

Answer :

Answer: the function y = cos(2x) - 2 and the function y = cos(x) - 3

Step-by-step explanation: just took it

Function [tex]y=cos2(x)-2[/tex] and function [tex]y=cos(x)-3[/tex].

Function:

  • A function in mathematics from a set [tex]x[/tex] to a set [tex]y[/tex] allocates exactly one element  [tex]y[/tex] to each element [tex]x[/tex].
  • The sets [tex]x[/tex] and [tex]y[/tex] are collectively referred to as the function's domain and codomain, respectively.
  • Initially, functions represented the idealized relationship between two changing quantities.
  • A planet's position, for instance, depends on time.
  • In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable (that is, they had a high degree of regularity).

Solution -

The function which has the same amplitude as the function [tex]y=cos(x-4)+1[/tex] and is the translation of the parent cosine is as follows:

  • [tex]y=cos2(x)-2[/tex]
  • [tex]y=cos(x)-3[/tex]

Therefore, function [tex]y=cos2(x)-2[/tex] , and function [tex]y=cos(x)-3[/tex].

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