Graphing Sine and Cosine Answers

This is the pattern for a function.

When the boat has traveled 10 meters, the height of the barnacle is approximately:

Gum’s maximum height: ft

b = ,

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The amplitude is . The vertical shift is . An equation for this graph is y = .

c = ,

d = ,

The maximum height reached by the barnacleis m.

The minimum height reached by the barnacleis m.

How far does the barnacle travel in one revolution of the water wheel? m

The boat is traveling at a rate of 1 meter per second.How long does it take the barnacle to get back to its starting point?

a = ,

b = ,

c =

The data from the previous table is plotted to the right. The distance the boat traveled is on the x-axis, and the vertical position of the barnacle is on the y-axis.The graph follows the pattern.

This is the pattern for a function.

An equation for this graph is y = .