Answer Happy

1. The following graph represents the model of a tsunami wave. Suppose y=0 is considered the height of a calm ocean. a) If you wanted to model the motion of this tsunami wave with a trigonometric function, which type of trig function would be the most natural fit considering that the wave has a crest at x=0 miles? ( 2pt) b) What is the amplitude of this trig function? (4 pts)
c) What is the height of the tsunami wave (from crest to trough)? (Note: this is not the same as. the amplitude). (2 pts) d) What is the tsunami's wavelength (the period of the function)? (Hint Be careful, it is not 100 miles.) (4 pts) c) Plug your answer to part (d) into the formula for the period, P of this type of trigonometric function, then solve algchraically for the-apnropriate cocfficicnt, B (show your work). (4 pts) f) Use your answers to parts (a), (b) and (e) to write the equation of a trigonometric function that accurately models the motion of this tsunami wave. (4 pts)