Question

Match them together to correct answer

Answer 1

1. y = 3 - b. Midline

2. 2 - a. Frequency

3. 5 - c. Amplitude

4. π - d. Period

Explanation:

We know that the standard cosine equation is in the form:

`f(x) = a\cos(bx)+c`

where
`a` = amplitude,

`b` = frequency,

`c` = midline.

Therefore, for the given cosine equation:

Amplitude = 5,

Frequency = 2,

Midline = y = 3

Period = π

Answer 2

Frequency=2

Midline =3

Amplitude =5

Period =π

EXPLANATION

We have:

`f(x) = 5 \cos(x) + 3`

The given function is of the form;

`f(x) = a\cos(bx) + c`

where

a=|5| =5 is the amplitude

and b=2 is the frequency.

and 2π/b=2π/2=π

The range of the given function is

8≤y≤-2

The midline is

`(8 + - 2)/(2) = (6)/(2) = 3`