Question

MAX POINTS Help please and thanks

What is the period and frequency of the function graphed and how would the equation be written?

Answer 1

Frequency is total number of complete cycle, made in a unit time.

Period is the time taken to complete a cycle.

Explanation:

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

The required equation is :

`\qquad \bf \dashrightarrow \:y =a \cos(bx) + k`

Now, let's find the required values :

• period (p) = 6

[distance between any successive Crest or trough]

• a = - 4 (flipped)

• b = 2π/p = 2π/6 = π/3

• k = -2

Distance of starting position from origin = k

Now, plug in the values ~

`\qquad \bf  \dashrightarrow \: - 4 \cos( (\pi)/(3) x) - 2`