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For the following exercises, determine the amplitude, period, and midline of the graph, and then find a formula for the function.
14. Give in terms of a sine function.
15. Give in terms of a sine function.
-1.5 – 0.5 0.5
1.52

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Transcript

So just to start with that first one, what really matters to me is that we are shifted down to negative 4. It looks like this graph goes up to negative 2. Let me look again, negative 4, negative 2. Yeah, there’s like a break in the graph. That’s why it doesn’t look like it’s very good. It goes down to negative 6 and then finishes out a period over here at 2. So to answer the first couple of questions, the amplitude would be 2, because that’s how, I guess so it’s this distance here, the amplitude. The period is equal to 2 because it’s going from 0 to 2. And then the midline is the equation y equals negative 4. So now we can come up with an equation, and I’m just going to do y equals, you can do f of x or whatever you feel like. But what I would do is the amplitude is 2, it’s a sine curve. Now with this number here, I would actually do 2 pi divided by that…