Question

Match them together to correct answer

Answer 1

ANSWER

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

$\frac{8 + - 2}{2} = \frac{6}{2} = 3$

Answer 2

Answer:

1. y = 3 - b. Midline

2. 2 - a. Frequency

3. 5 - c. Amplitude

4. π - d. Period

Step-by-step 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