On October 30, the low tide at Balboa Pier was 0.90 feet and occurred at 1:00 am while the high tide was 5.3 feet and occurred at 6:00 am. The following graph shows the function H = f(t) giving the tides over the course of the day, where t = 0 corresponds to 12:00 am (midnight).

a) Determine the amplitude, period, and horizontal shift (together with direction and function) for H(t).

b) Determine the formula for H(t)

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2. (5 pts.) On October 30, the low tide at Balboa Pier was 0.90 feet and occurred at 1:00 am while the high tide was 5.3 feet and occurred at

6 : 00 am

. The following graph shows the function

H = f (t)

giving the tides over the course of the day, where

t = 0

corresponds to

12 : 00 am

(midnight). (a) Determine the amplitude, midline, period, and horizontal shift (together with direction and the function) for

H (t)

. (b) Determine the formula for

H (t)

.

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