Classifying Conic Sections Notes

Conics in General Form

Ax²+ Bx²+ Dx + Ey + F Rules to Remember:

A and B cannot both equal zero - this would be the equation of a line
if A = B, the conic is a circle
if A or B = 0, the conic is a parabola
if A is not equal to B and AB > 0, the conic is an ellipse
if AB < 0, the conic is a hyperbola

Relationships in Conic Sections

Conic sections can be seen as "slices" of two inverted cones. The shapes created by these "slices" are the same as the shapes which you will graph using equations.
The physical differences between sections are reflected in the equations of the sections.

Identify the conic section of the equation.

y² -

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Information: Classifying Conic Sections Notes