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Answer :

Answer:

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

Period is the time taken to complete a cycle.

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \bf \dashrightarrow \:y =a \cos(bx) + k[/tex]

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 ~

[tex]\qquad \bf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]