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The graph of a sinusoidal function has a max point (0,8) and min point (5,2) whats the formula

User Oramas
by
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1 Answer

3 votes

Answer:

π

The desired formula is y = 3cos(----- t) + 5

5

Explanation:

From maximum point to minimum point, the change in x is 5 and the change in y (min to mx) is (8 - 2), or 6. The graph repeats itself beginning at x = 6 and thus has period 10 (e. g., from first max to next max).

Period and frequency are related through period = ------

b

and so if the period is 10 (as it is here),

2π 2π π

period = 10 = ------------ Therefore, b = ------- = -------

b 10 5

π

The desired formula is y = 3cos(----- t) + 5

5

3 is the amplitude and 5 is the vertical offset from y = 0.

User Nick Martyshchenko
by
8.1k points

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