Question

Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2 x)-3

-3
1/2
4
'_'

Answer 1

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.

Step-by-step explanation:

The given function is
`f(x)=-cos(x/2)-3`.

The parent function of
`f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx`. 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:

• 
  `y=A(Bx)-C`

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

Now, you can write the parent function:

• 
  `y=1.cos(1.x)+0`

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