# Math Help - Find sine function through two points.

1. ## Find sine function through two points.

Write an equation of the form whose graph is the sine wave shown above. The curve goes through the points and .

I forget how to do this.

2. There is more than one possible solution here that I can see.

I'm happy to help but we need to focus on the one you require. First thing to do is draw a sine function that goes through these 2 points.

I have one in mind. It has the y-intercept at (0,4) and half way through the cycle returns to (2,4). Can you draw a picture of that?

If so what is the period of the function?

3. You need to show us the actual graph, there are many many many many sine curves which pass through those two points (example: $y = sin(0.5 \pi x) + 4$).

Is the method not in your class notes or text book?

Edit pickslides was faster :P

4. I can't add an image, I don't know why but it doesn't show.

5. Thanks for the link, the question now has only one solution. Looking at the graph, what is P the period?

You can then find B given $\displaystyle \frac{2\pi}{B} = P$

6. There is still an infinite number of possible functions.

Here's one of them: . $f(x) \:=\:-3\sin(\pi x) + 4$