anonymous
  • anonymous
how do I graph \[y=-3cos(3x)\]? I know that 3 is the amplitude I know that the graph will be upside down. I know that the period is \[\frac{2\pi}{3}\]
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
stamp
  • stamp
Copy the image and begin by marking your amplitude, the highest and lowest point of the wave.|dw:1360290026921:dw|
anonymous
  • anonymous
|dw:1360290074055:dw|
stamp
  • stamp
now label \[(\frac{2\pi}{3},f(\frac{2\pi}{3}))\]this point is the end of your period.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
|dw:1360290246963:dw|
stamp
  • stamp
\[f(x)=-3cos(3x)\]\[f(\frac{3\pi}{2})=-3cos(3(\frac{3\pi}{2}))=-3cos(9\pi/2)\]
anonymous
  • anonymous
it's \[\frac{2\pi}{3}\] for the period
stamp
  • stamp
@JenniferSmart1 My fault. You evaluated it correctly, I would have gotten 0 for f(3pi/2) while f(2pi/3) is -3. Ok, so now can you finish the graph from here? So far you have done an excellent job.
anonymous
  • anonymous
|dw:1360290496676:dw|
anonymous
  • anonymous
?
stamp
  • stamp
Could we label the highest point (x, f(x)) if we were asked?
anonymous
  • anonymous
Let's see \[( \frac{\pi}{3} , 3)\] because \[\frac{2\pi}{3\cdot2}\]
stamp
  • stamp
Ok! I think your graph seems pretty complete, well done. Here is the actual graph for reference http://www.wolframalpha.com/input/?i=-3cos%283x%29
anonymous
  • anonymous
I'm guessing because its half way between 2pi/3
anonymous
  • anonymous
Thanks!

Looking for something else?

Not the answer you are looking for? Search for more explanations.