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