[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]
[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]
Use the graphic tool and classify the following conics.
(x+2)[sup]2[/sup]+(y-3)[sup]2[/sup]=4
Is this relation in General form or Standard form?
[math]y=2(x-3)^2+4[/math]
Is this relation in General form or Standard form?[br]
[math]\frac{(x-1)^2}{4}+\frac{(y+3)}{25}^{^2}=1[/math]
Is this relation in General form or Standard form?
[math]\frac{(x-4)^2}{4}-\frac{(y+5)^2}{9}=1[/math]
Is this relation in General form or Standard form?
[math]x^2+4y^2+4x+6y+2=0[/math]
Is this relation in General form or Standard form?
[math]4y^2+2x+8y-1=0[/math]
Is this relation in General form or Standard form?
[math]3x^2+3y^2+4x-8y-1=0[/math]
Is this relation in General form or Standard form?
