Identifying Conic Sections from their Equations

 $\left(x\ +\ 3\right)^2\ +\ \left(y\ -\ 2\right)^2\ =\ 36$  

• parabola

• circle

• ellipse

• hyperbola

Tags

CCSS.HSG.GPE.A.1

 $\frac{\left(x\ +\ 6\right)^2}{4}+\frac{\left(y\ -\ 7\right)^2}{9}=\ 1$  

• parabola

• circle

• ellipse

• hyperbola

Tags

CCSS.HSG.GPE.A.1

 $\frac{\left(x\ \ +\ 2\right)^2}{25}-\frac{\left(y\ +\ 8\right)^2}{64}=\ 1$  

• parabola

• circle

• ellipse

• hyperbola

 $\left(x\ -\ 3\right)^2+\ \left(y\ +\ 8\right)^2=\ 81$  

• parabola

• circle

• ellipse

• hyperbola

Tags

CCSS.HSG.GPE.A.1

 $\frac{\left(y\ +\ 4\right)^2}{49}-\ \frac{\left(x\ +\ 3\right)^2}{16}=1$  

• parabola

• circle

• ellipse

• hyperbola

 $\frac{\left(x\ -\ 4\right)^2}{144}+\frac{\left(y\ +\ 6\right)^2}{36}=\ 1$  

• parabola

• circle

• ellipse

• hyperbola

Tags

CCSS.HSG.GPE.A.1

 $4x^2-\ y^2-24x\ +20=0$  

• parabola

• circle

• ellipse

• hyperbola

 $x^2+4y^2-6x+8y-3=0$  

• parabola

• circle

• ellipse

• hyperbola

Tags

CCSS.HSG.GPE.A.1

$x^2\ +\ y^2\ -\ 6x\ -\ 2y\ +\ 1\ =\ 0$

• parabola

• circle

• ellipse

• hyperbola

Tags

CCSS.HSG.GPE.A.1

 $-9y^2\ +\ 25y^2-50y\ -200=0$  

• parabola

• circle

• ellipse

• hyperbola