Does this have an amplitude of 2 units? (picture in attachment)

Question

anonymous · Answer

attachment

terenzreignz · Answer

The amplitude is the highest y-value your sin wave can go... so is 2 as high as your wave can go? :)

anonymous · Answer

yes? (:

anonymous · Answer

I see that it goes to 2, so I'm assuming yes (:

terenzreignz · Answer

Then 2 is your amplitude, right? :)

anonymous · Answer

Oooh, okay :D Thank you! That clears things up for a lot of other problems I'm doing Lol

terenzreignz · Answer

No problem :)
By the way, my definition wasn't entirely accurate...

anonymous · Answer

How so?

terenzreignz · Answer

Well, for instance, what if your function was
f(x) = (2sin x) + 4
Your amplitude is still 2 BUT
your function can go as high as 6 :)
Do you know why?

anonymous · Answer

Oooh, well I'm seeing the vertical translation being 4, so 4 + 2 = 6? :o

terenzreignz · Answer

Well, yeah :)
gist of it is, if you have your function in this form
f(x) = asin px

then a is your amplitude (and if a is negative, then -a is your amplitude)
and your period is 2pi / p   (or 360 / p)

anonymous · Answer

Ooohh (: Okay

terenzreignz · Answer

works for cos too

anonymous · Answer

Awesome (: Thank you so much!

terenzreignz · Answer

You're welcome :)