April 28, 2014
2.
4x2 - 3y2 + 8x + 16 = 0
April 28, 2014
1. Find the standard equ. of hyperbola if the foci are
(5,2) and (-1,2) and the vertices are (0,2) and (4,2).
April 28, 2014
2. Vertices (3,-5) and (3,1) with asymptotes:
y = 2x - 8 and y = -2x + 4
April 28, 2014
General Equation of a Conic:
Ax2 + Cy2 + Dx + Ey + F = 0
1.
2.
3.
4.
circle:
A = C A= 0
parabola: AC = 0 A=0 or C=0, not both
ellipse: AC > 0 A and C have like signs
hyperbola: AC < 0 A and C have unlike signs
Classify each conic:
1. 4x2 - 9x + y - 5 = 0
2. 4x2 - y2 + 8x - 6y + 4 = 0
3. 2x2 + 4y2 - 4x + 12y = 0
4. 2x2 + 2y2 - 8x + 12y + 2 = 0
April 28, 2014