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Edufirst

Answer:

The parameters in the parent function are:

  • the parameter correspondig to - 3 in the given function is 0 in the parent function.
  • the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
  • the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is [tex]f(x)=-cos(x/2)-3[/tex].

The parent function of [tex]f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx[/tex]. The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.

In the parent function, those values are 1, 1, and 0.

It may help you representing the parameters in the given function with letters:

  • [tex]y=A(Bx)-C[/tex]

Then, in the given function A = - 1, B = 1/2, and C = -3.

Now, you can write the parent function:

  • [tex]y=1.cos(1.x)+0[/tex]

Then, the parameters are A = - 1, B = 1, and C = 0.

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