Section 7.6.A

Conic Sections

Def: The equation of a conic section is given by:

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0

Where: A, B, C, D, E and F are not all = 0

A conic section is the intersection of a plane andA cone with two nappes

1.) Identify and graph

9x2 + 16y2 - 54x + 64y + 1 = 0

1.) (cont.)

2.) Graph and Identify

y2 - 3x + 6y + 12 = 0

2.) (cont.)

3.) Identify and graph

x2 - 8y + y2 + 11 = 0

3.) (cont.)

(0, 4)

4.) Identify and graph

y2 -2x2 -16 = 0

4.) (cont.)

8.28

Homework

Worksheet 7-6