Identify Conic Sections from the General Form

Identify the conic: 14+4y+2x²=-12x-y²

• Parabola

• Hyperbola

• Ellipse

• not a conic

Identify the conic: 3+4y+5x²=-12x+y²

• Parabola

• Hyperbola

• Ellipse

• not a conic

Identify the conic: -8x+16+3y²=8y+24-3x²+6xy

• Parabola

• Hyperbola

• Ellipse

• not a conic

Which value of "A" will make the conic 2x²+2y²-8y+24x=Axy a parabola?

• 4

• 8

• -8

• both 8 and -8

• this is a circle regardless of the value of A

Which values of "A" will make the conic 2x²+y²-8y+24x=Axy an ellipse ?

• -3<A<3

• --2<A<2

• A<3

• A<-2

• this is an ellipse regardless of the value of A

Which values of "A" will make the conic 3x²-2y²-7y+4x=Axy a hyperbola ?

• -5<A<5

• A>5

• A<5

• A<-5 or A>5

• this is a Hyperbola regardless of the value of A

Which values of "A" will make the conic 3x²+2y²-7y+4x=Axy a hyperbola ?

• -5<A<5

• A>5

• A<5

• A<-5 or A>5

• this is an Ellipse regardless of the value of A