Questions:
Identifying types of conics
For each of the equations identify the type of conic it is and list the major features associated with this type of conic
Major Features
Circles
- Find the coordinates of the center
- Find the length of the radius
- Find the length of the diameter
Parabolas
- Find the coordinates of the vertex
- Find the coordinates of the focus
- Write the equation of the axis of symmetry
- Write the equation of the directrix
Ellipses
-Find the center of the ellipse
- Fine the coordinates of both of the foci points
- Find the coordinates of alll the vertices
- Find the length of the major axis
-Find the length of the minor axis
Hyperbolas
- Find the center
-Find the coordinates of the twp vertices
-Find the coordinates of the two foci points
- Find the equation of the two asymptotes
Equations
1) X62 - 10x +2y^2 +40y - 175=0
2) 2x^2 + 6x + 5y^2 - 40y - 7 = 0
3) 5x^2 - 80x + 5y^2 - 30y - 135 = 0
4) 6x^2 + 24x + 3y - 45 = 0