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Aim: What are the conic sections?
Do Now: Copy the picture below.
y=a(x-h)2 + kVertical Axis of
symmetryFunction
x=a(y-k)2 + hHorizontal Axis of
symmetryNot a function
PARABOLAS
CIRCLES
(x-h)2 + (y-k)2 = r2
(h, k) = Center r = Radius
(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
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