Question

particular sound wave can be graphed using the function y = 1 sin 2x . Find the amplitude of the function.

A. amplitude = 1

B. amplitude = p

C. amplitude = p

D. amplitude = –1

Answer 1

Amplitude=number right in front of sin, determines how much it strectches or shrinks

Answer 2

Adding to @doulikepiecauseidont 's response, that stretching and shrinking is in the \(y\)direction.

Answer 3

I have no idea where to start. none of this is covered in my textbook. I dont even know why this question is in the curriculum. I'm taking Algebra 2, and this is trig.

Answer 4

Haha, that's unfair! Sounds like school!

Okay, so you're looking at this function:\[1\ sin(2x)\]

I want to know where I should start, so please tell me; do you need to know the unit circle?

Answer 5

Yes

Answer 6

AH! And do you?

Answer 7

No

Answer 8

I can say the same of my old math teacher. She retired. Do you want to know the unit circle?

For this problem, it only matters because it explains what the \(sin()\) function does.

But you can learn the function's (\(y= 1\ sin(2x)\) ) parts by just remembering, too.

Answer 9

So it's not really necessary then is it?

Answer 10

The unit circle? It would help you understand why the \(sin()\) function is doing what its doing, but otherwise you don't need it for this question. For this question, you only need to remember that the "amplitude" is what is multiplying the \(sin()\) function.

Answer 11

Oh, ok. Whats my next step?

Answer 12

Well, that problem is done. There is no next step for that one. The next step for knowing things about the function... Maybe I can search that quick. But I know that the number multiplying the \(x\), like \(y=1\ sin\left(\LARGE {2}\normalsize x\right)\), determines the period. The period is \(2\pi\) divided by that.

Answer 13

I get it now. Thanks

Answer 14

Oh, cool! Any more questions, just ask...