warmup 9/30/15 to determine the shape of a conic function based on the equation pp 132: 4, 5, 7, 11...
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Warmup 9/30/15
<Mr. C. is going to answer some of the things you wrote Monday>
To determine the shape of a conic function based on the equation
pp 132: 4, 5, 7, 11
Objective Tonight’s Homework
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Homework Help
Let’s spend the first 10 minutes of class going over any problems with which you need help.
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Notes on Equations of Conic Sections
You’ll recall that if we cut a cone, we can get either a circle, an ellipse, a parabola, or a hyperbola.
But given an equation, how can we tell which is which?
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Notes on Equations of Conic Sections
Parabola:If we have an x2 and a y
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Notes on Equations of Conic Sections
Parabola:If we have an x2 and a y
Circle:If we have an x2 and a y2 and the coefficients are the same.
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Notes on Equations of Conic Sections
Parabola:If we have an x2 and a y
Circle:If we have an x2 and a y2 and the coefficients are the same.
Ellipse:If we have an x2 and a y2 and the coefficients are not the same.
![Page 7: Warmup 9/30/15 To determine the shape of a conic function based on the equation pp 132: 4, 5, 7, 11 Objective Tonight’s Homework](https://reader036.vdocuments.site/reader036/viewer/2022082711/56649f2f5503460f94c49c96/html5/thumbnails/7.jpg)
Notes on Equations of Conic Sections
Parabola:If we have an x2 and a y
Circle:If we have an x2 and a y2 and the coefficients are the same.
Ellipse:If we have an x2 and a y2 and the coefficients are not the same.
Hyperbola:If we have an x2 and a y2, the coefficients are not the same and x and y have different sign.
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Group Practice
Look at the example problems on pages 131 and 132. Make sure the examples make sense. Work through them with a friend.
Then look at the homework tonight and see if there are any problems you think will be hard. Now is the time to ask a friend or the teacher for help!
pp 132: 4, 5, 7, 11
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Exit Question
What kind of conic section is being modeled with...
x2 + y2 - 8x + 6y = 0
a) Ellipseb) Hyperbolac) Parabolad) Circlee) This isn’t a conic section equation