anonymous
  • anonymous
Find a function for the graph below. (Graph is in attached file.) It's a multiple choice question and the answers can be: a. f(t) = 3sin 6t b. f(t) = 6cos 3t c. f(t) = -3sin 3t d. f(t) = 3sin 3t
Mathematics
chestercat
  • chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
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anonymous
  • anonymous
c
anonymous
  • anonymous
3 in front of sin changes the amplitude or the magnitude from the usual -1 to + 1 to -3 to +3. The 3 inside the sin() changes the period from the usual 0 to 2pi to 0 to 2pi/3. The minus sign makes a mirror image of sin() in regards of the x axis.

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anonymous
  • anonymous
thanks!
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=plot+-sin%283x%29
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=plot+-3sin%283x%29 this is your case
anonymous
  • anonymous
normal sin() http://www.wolframalpha.com/input/?i=plot+sin%28x%29 3 times the period http://www.wolframalpha.com/input/?i=plot+sin%283x%29 3 times the period magnitude http://www.wolframalpha.com/input/?i=plot+3sin%283x%29 minus to flip it http://www.wolframalpha.com/input/?i=plot+-3sin%283x%29

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