1. Aim: What are the conic sections? Do Now: Copy the picture below.

2. y=a(x-h) 2 + k Vertical Axis of symmetry Function x=a(y-k) 2 + h Horizontal Axis of symmetry Not a function PARABOLAS

3. CIRCLES (x-h) 2 + (y-k) 2 = r 2 (h, k) = Center r = Radius

4. (x-h) 2 + (y-k) 2 = 1 a 2 b 2 (y-k) 2 + (x-h) 2 = 1 a 2 b 2 ELLIPSES (h, k) = Center Major Axis = x axis a = Dist to Vertices (h, k) = Center Major Axis = y axis a = Dist to Vertices

5. HYPERBOLAS (x-h) 2 - (y-k) 2 = 1 a 2 b 2 (y-k) 2 - (x-h) 2 = 1 a 2 b 2 (h, k) = Center Major Axis = x axis Transverse Axis = y axis (h, k) = Center Major Axis = y axis Transverse Axis = x axis