intro to conic sections. it all depends on how you slice it! start with a cone:
TRANSCRIPT
![Page 1: Intro to Conic Sections. It all depends on how you slice it! Start with a cone:](https://reader036.vdocuments.us/reader036/viewer/2022082816/56649d765503460f94a57b69/html5/thumbnails/1.jpg)
Intro to Conic Sections
![Page 2: Intro to Conic Sections. It all depends on how you slice it! Start with a cone:](https://reader036.vdocuments.us/reader036/viewer/2022082816/56649d765503460f94a57b69/html5/thumbnails/2.jpg)
It all depends on how you slice it!
• Start with a cone:
![Page 3: Intro to Conic Sections. It all depends on how you slice it! Start with a cone:](https://reader036.vdocuments.us/reader036/viewer/2022082816/56649d765503460f94a57b69/html5/thumbnails/3.jpg)
IF we slice the cone, parallel to the base, what do we get?
A Circle!
![Page 4: Intro to Conic Sections. It all depends on how you slice it! Start with a cone:](https://reader036.vdocuments.us/reader036/viewer/2022082816/56649d765503460f94a57b69/html5/thumbnails/4.jpg)
IF we slice the cone at an angle, what do we get now?
An Ellipse!
![Page 5: Intro to Conic Sections. It all depends on how you slice it! Start with a cone:](https://reader036.vdocuments.us/reader036/viewer/2022082816/56649d765503460f94a57b69/html5/thumbnails/5.jpg)
IF we just take a slice from the lateral face of the cone, what do we get?
A Parabola!
![Page 6: Intro to Conic Sections. It all depends on how you slice it! Start with a cone:](https://reader036.vdocuments.us/reader036/viewer/2022082816/56649d765503460f94a57b69/html5/thumbnails/6.jpg)
Finally, let’s take a slice from the lateral face, perpendicular to the base
A Hyperbola!
![Page 7: Intro to Conic Sections. It all depends on how you slice it! Start with a cone:](https://reader036.vdocuments.us/reader036/viewer/2022082816/56649d765503460f94a57b69/html5/thumbnails/7.jpg)
These shapes are called Conic Sections. We can use Algebra to describe the equations and graphs of these
shapes.