How To Classify Conic Sections

There are four basic types.

How to classify conic sections. Another way to classify a conic section when it is in the general form is to use the. When x and y are both squared and the coefficients on them are the same including the sign. 17 2 y2 x 4y 1 0 x y 8 6 4 2 2 4 6 8 8 6 4 2 2 4 6 8.

The four basic conic sections do not pass through the vertex of the cone. Use the discriminant to determine the type of conic each equation. Another way to classify a conic section when it is in the general form is to use the.

Circles ellipses hyperbolas and parabolas. Classify the following equations according to the type of conic each represents. When either x or y is squared not both.

For parabolas identify the vertex and focus. The circle is a special case of the ellipse though historically it was sometimes called a fourth type. A 3x2 3y2 6x 9y 14 0.

For circles identify the center and radius. Earlier you were asked to determine the type of conic section represented by the equation. D x2 y2 3x 2y 43 0.

In mathematics a conic section or simply conic is a curve obtained as the intersection of the surface of a cone with a plane the three types of conic section are the hyperbola the parabola and the ellipse. The equations y x 2 4 and x 2 y 2 3. Classifying conic sections classifying conic sections.