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During a storm, waves pass a fixed point every 2s. The difference between the crest and the trough of any wave is 5.2m

a) Write the equation of the sine wave that models the height of a point on the water wave.

b) Graph using 0m as the trough

My Answer:

2Pi / k = 2

k = Pi

2.6sinPi(x)

I wanted to check if this is correct?

I just wanted to make sure I was not supposed to shift vertically 2.6m?

i.e. 2.6sinPi(x) + 2.6

Originally I vertically shifted it 2.6 but then I couldn't figure the reason I did this (other than not going negative m). Then when I noticed part b said the trough is 0m I corrected my equation not to include the shift.

a) Write the equation of the sine wave that models the height of a point on the water wave.

b) Graph using 0m as the trough

My Answer:

2Pi / k = 2

k = Pi

2.6sinPi(x)

I wanted to check if this is correct?

I just wanted to make sure I was not supposed to shift vertically 2.6m?

i.e. 2.6sinPi(x) + 2.6

Originally I vertically shifted it 2.6 but then I couldn't figure the reason I did this (other than not going negative m). Then when I noticed part b said the trough is 0m I corrected my equation not to include the shift.

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