How To Identify A Conic Section

None of the intersections will pass through.

How to identify a conic section. A 3x2 3y2 6x 9y 14 0 b 6x2 12x y 15 0 c x2 2y2 4x 2y 27 0. Big small fat skinny vertical horizontal and more. A single focus a fixed line called the directrix and the ratio of the distances of each to a point on the graph.

Conic sections imagine one of those bright orange traffic cones that you see on the road. This is what we call a conic section. Now picture another one directly underneath it that is upside down.

There are four basic types. Classify the following equations according to the type of conic each represents. If a b not equal to 0 then the conic is a circle if a or b is 0 but not both then the conic is a parabola.

By changing the angle and location of the intersection we can produce different types of conics. A conic section can be graphed on a coordinate plane. The constants listed above are the culprits of these changes.

Picture an ice cream waffle cone right side up. Now take a knife and make a cut through it. An equation has to have x2 and or y2 to create a conic.

The three types are parabolas ellipses and hyperbolas. When a conic is written in the form ax 2 by 2 cx dy e 0 then the following rules can be used to determine what type of relation it is. Conic sections can come in all different shapes and sizes.