SOLUTION: State the equation of your choice that has an amplitude of 3 units, a period of 2𝜋/ 3 and a minimum at (0, -8)

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Question 1183280: State the equation of your choice that has an amplitude of 3 units, a period of 2𝜋/ 3 and a minimum at (0, -8)
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!

    y = -5 - 3*cos(3x).      ANSWER.



EXPLANATION


    The minimum value of -8 and the amplitude of 3 dictate that the midline is y = -5.


    The fact that the minimum is at x= 0 dictates to use the cosine function flipped/reflected about the midline.


    The argument of  (3x)  provides / models the period  2pi%2F3.

Completed,  solved,  answered and carefully explained.