Conic sections day one
5
Aim: What are the conic sections? Do Now: Copy the picture below.
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Transcript of Conic sections day one
![Page 1: Conic sections day one](https://reader036.fdocuments.net/reader036/viewer/2022082416/54b34e844a7959ff1b8b45a7/html5/thumbnails/1.jpg)
Aim: What are the conic sections?
Do Now: Copy the picture below.
![Page 2: Conic sections day one](https://reader036.fdocuments.net/reader036/viewer/2022082416/54b34e844a7959ff1b8b45a7/html5/thumbnails/2.jpg)
y=a(x-h)2 + kVertical Axis of
symmetryFunction
x=a(y-k)2 + hHorizontal Axis of
symmetryNot a function
PARABOLAS
![Page 3: Conic sections day one](https://reader036.fdocuments.net/reader036/viewer/2022082416/54b34e844a7959ff1b8b45a7/html5/thumbnails/3.jpg)
CIRCLES
(x-h)2 + (y-k)2 = r2
(h, k) = Center r = Radius
![Page 4: Conic sections day one](https://reader036.fdocuments.net/reader036/viewer/2022082416/54b34e844a7959ff1b8b45a7/html5/thumbnails/4.jpg)
(x-h)2 + (y-k)2 = 1 a2 b2
(y-k)2 + (x-h)2 = 1 a2 b2
ELLIPSES
(h, k) = CenterMajor Axis = x axisa = Dist to Vertices
(h, k) = CenterMajor Axis = y axisa = Dist to Vertices
![Page 5: Conic sections day one](https://reader036.fdocuments.net/reader036/viewer/2022082416/54b34e844a7959ff1b8b45a7/html5/thumbnails/5.jpg)
HYPERBOLAS
(x-h)2 - (y-k)2 = 1 a2 b2
(y-k)2 - (x-h)2 = 1 a2 b2
(h, k) = CenterMajor Axis = x axisTransverse Axis = y axis
(h, k) = CenterMajor Axis = y axisTransverse Axis = x axis