Classifying Conic Sections Notes

Conics in General Form
[size=150][size=200][b]Ax[/b][sup]2 [/sup][b]+ Bx[/b][sup]2 [/sup][b]+ Dx + Ey + F[/b]    [/size][br][br]Rules to Remember: [br][list][*]A and B cannot both equal zero - this would be the equation of a line[/*][*]if A = B, the conic is a [i]circle[/i][/*][*]if A or B = 0, the conic is a [i]parabola[/i][/*][*]if A is not equal to B and AB > 0, the conic is an [i]ellipse[/i][/*][*]if AB < 0, the conic is a [i]hyperbola[/i][/*][/list][/size][sup][b][br][/b][/sup]
Relationships in Conic Sections
[list][*][size=150][size=50][/size][/size][/*][/list][size=50][size=150][list][*][size=150]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.[/size][br][/*][*]The physical differences between sections are reflected in the equations of the sections.[/*][/list][/size][/size]
Identify the conic section of the equation.
[list=1][*] y[sup]2[/sup] -[/*][/list]
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Information: Classifying Conic Sections Notes