Answer:
Step-by-step explanation:
Please, when you see the words "the following statements," share those possible answer choices. Thank you.
The function f(x) has the same graph as does g(x) EXCEPT that the graph has been translated down by |k| units.
If k = -5 then the graph of f(x) is the same as that of g(x) except that it's been translated down 5 units.
The best answer is C) y=4.75 * cos(0.52x - 2.08) + 7.65
Unfortunately, the two only ways to solve this problem are to either graph all the options or plug in time values for x and see which agrees the most with the tide chart. Both are time-consuming, but I chose to graph each one with a graphing application.
Plugging in a few values for x confirms that C is the best function.
12pm (x=0)
y = 4.75 * cos(0 - 2.08) + 7.65
y = 5.334
2pm (x=2)
y= 6.5
4pm (x=4)
y=12.4
It is not a perfect representation, but the shape of the graph and closeness to the points given is the best of the four options provided.