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x=y^2-2y	x=y^{2}-2y
foci y^2=-4/5 (x-2)	foci\:y^{2}=-\frac{4}{5}(x-2)
x^2-4y^2-20x-64y-172=0	x^{2}-4y^{2}-20x-64y-172=0
9x^2+4y^2-18x+8y-23=0	9x^{2}+4y^{2}-18x+8y-23=0
25x^2+4y^2=100	25x^{2}+4y^{2}=100
directrix y=-2x^2-2x-2	directrix\:y=-2x^{2}-2x-2
vertices (x^2)/9+(y^2)/(16)=1	vertices\:\frac{x^{2}}{9}+\frac{y^{2}}{16}=1
x^2-y^2=25	x^{2}-y^{2}=25
x^2+y^2=100	x^{2}+y^{2}=100
directrix y^2=-14x	directrix\:y^{2}=-14x
vertices 16x^2+y^2=16	vertices\:16x^{2}+y^{2}=16
foci (y^2)/9-(x^2)/(16)=1	foci\:\frac{y^{2}}{9}-\frac{x^{2}}{16}=1
foci (x^2)/9+(y^2)/(16)=1	foci\:\frac{x^{2}}{9}+\frac{y^{2}}{16}=1
foci (x^2)/(36)-(y^2)/(64)=1	foci\:\frac{x^{2}}{36}-\frac{y^{2}}{64}=1
x^2=-6y	x^{2}=-6y
y^2-4y-4x=0	y^{2}-4y-4x=0
(x^2)/(16)+(y^2)/(49)=1	\frac{x^{2}}{16}+\frac{y^{2}}{49}=1
vertices (x^2)/(25)+(y^2)/(25)=1	vertices\:\frac{x^{2}}{25}+\frac{y^{2}}{25}=1
asymptotes of (y^2)/(64)-(x^2)/(36)=1	asymptotes\:\frac{y^{2}}{64}-\frac{x^{2}}{36}=1
((x-1)^2}{25}-\frac{(y+3)^2)/9 =1	\frac{(x-1)^{2}}{25}-\frac{(y+3)^{2}}{9}=1
vertices f(x)=x^2-2x+4	vertices\:f(x)=x^{2}-2x+4
vertices x^2-24x-12	vertices\:x^{2}-24x-12
foci 16x^2+9y^2=144	foci\:16x^{2}+9y^{2}=144
-x^2+y^2=1	-x^{2}+y^{2}=1
foci y^2-(x^2)/9 =1	foci\:y^{2}-\frac{x^{2}}{9}=1
y^2=2x+1	y^{2}=2x+1
x^2+2y^2=3	x^{2}+2y^{2}=3
vertices f(x)=-x^2-2x+2	vertices\:f(x)=-x^{2}-2x+2
x^2+4y^2-4x=0	x^{2}+4y^{2}-4x=0
foci 4x^2+9y^2=36	foci\:4x^{2}+9y^{2}=36
3x^2+2y^2+6x-4y+5=18	3x^{2}+2y^{2}+6x-4y+5=18
vertices f(x)=x^2+8x+15	vertices\:f(x)=x^{2}+8x+15
directrix y^2=-20x	directrix\:y^{2}=-20x
vertices f(x)=-(x^2)/(10)+(9x)/(10)+11/5	vertices\:f(x)=-\frac{x^{2}}{10}+\frac{9x}{10}+\frac{11}{5}
directrix y^2=32x	directrix\:y^{2}=32x
y+4x<= x^2+2	y+4x\le\:x^{2}+2
foci y^2-y-x+1=0	foci\:y^{2}-y-x+1=0
9y^2-16x^2=81	9y^{2}-16x^{2}=81
9x^2-4y^2-54x-8y+113=0	9x^{2}-4y^{2}-54x-8y+113=0
vertices y^2+2y+x=0	vertices\:y^{2}+2y+x=0
x^2+y^2+8x-2y-19=0	x^{2}+y^{2}+8x-2y-19=0
foci (x^2}{36}+\frac{y^2)/4 =1	foci\:\frac{x^{2}}{36}+\frac{y^{2}}{4}=1
x^2+4x-4y=0	x^{2}+4x-4y=0
y^2-4x=0	y^{2}-4x=0
16x^2+y^2=16	16x^{2}+y^{2}=16
y^2=3x	y^{2}=3x
foci (y^2)/(25)-(x^2)/(16)=1	foci\:\frac{y^{2}}{25}-\frac{x^{2}}{16}=1
(x^2)/(36)+(y^2)/(25)=1	\frac{x^{2}}{36}+\frac{y^{2}}{25}=1
asymptotes of 9x^2-16y^2=144	asymptotes\:9x^{2}-16y^{2}=144
x^2+y^2+6x-4y=0	x^{2}+y^{2}+6x-4y=0
vertices f(x)=x^2+2x+1	vertices\:f(x)=x^{2}+2x+1
foci y^2=28x	foci\:y^{2}=28x
3x^2-3y=0	3x^{2}-3y=0
foci (x^2)/(25)-(y^2)/(16)=1	foci\:\frac{x^{2}}{25}-\frac{y^{2}}{16}=1
vertices f(x)=x^2-4x-5	vertices\:f(x)=x^{2}-4x-5
(y^2}{16}-\frac{x^2)/4 =1	\frac{y^{2}}{16}-\frac{x^{2}}{4}=1
x^2-2x+8y+9=0	x^{2}-2x+8y+9=0
x^2-5y=0	x^{2}-5y=0
(x^2)/9+(y^2)/(16)=1	\frac{x^{2}}{9}+\frac{y^{2}}{16}=1
directrix y^2=40x	directrix\:y^{2}=40x
y^2=-14x	y^{2}=-14x
foci (x^2)/5+(y^2)/9 =1	foci\:\frac{x^{2}}{5}+\frac{y^{2}}{9}=1
foci y^2=4x	foci\:y^{2}=4x
(y^2)/4-x^2=1	\frac{y^{2}}{4}-x^{2}=1
directrix x^2=-12y	directrix\:x^{2}=-12y
y^2=32x	y^{2}=32x
y^2=-2x	y^{2}=-2x
(y^2)/(64)-(x^2)/(36)=1	\frac{y^{2}}{64}-\frac{x^{2}}{36}=1
x^2+y^2+6x-2y-15=0	x^{2}+y^{2}+6x-2y-15=0
foci (y^2)/4-(x^2)/5 =1	foci\:\frac{y^{2}}{4}-\frac{x^{2}}{5}=1
(x^2)/(49)+(y^2)/(25)=1	\frac{x^{2}}{49}+\frac{y^{2}}{25}=1
y^2=x+4	y^{2}=x+4
(x^2}{81}-\frac{y^2)/9 =1	\frac{x^{2}}{81}-\frac{y^{2}}{9}=1
9x^2+25y^2=225	9x^{2}+25y^{2}=225
(x^2)/9-(y^2)/(25)=1	\frac{x^{2}}{9}-\frac{y^{2}}{25}=1
9x^2-25y^2=225	9x^{2}-25y^{2}=225
foci ((x+3)^2)/(16)+((y-5)^2)/(25)=1	foci\:\frac{(x+3)^{2}}{16}+\frac{(y-5)^{2}}{25}=1
x^2-8x+y^2+2y=-16	x^{2}-8x+y^{2}+2y=-16
vertices x^2=12y	vertices\:x^{2}=12y
4x^2+y^2=1	4x^{2}+y^{2}=1
vertices 16x^2+9y^2=144	vertices\:16x^{2}+9y^{2}=144
foci (x^2)/(64)+(y^2)/(16)=1	foci\:\frac{x^{2}}{64}+\frac{y^{2}}{16}=1
(y^2)/4-(x^2)/9 =1	\frac{y^{2}}{4}-\frac{x^{2}}{9}=1
2y^2-16x=0	2y^{2}-16x=0
foci (x^2)/(100)+(y^2)/(36)=1	foci\:\frac{x^{2}}{100}+\frac{y^{2}}{36}=1
16x^2-9y^2=144	16x^{2}-9y^{2}=144
x^2-y^2=16	x^{2}-y^{2}=16
x^2+y^2-2x+4y-31=0	x^{2}+y^{2}-2x+4y-31=0
(x+4)^2=12y-24	(x+4)^{2}=12y-24
(x^2}{25}+\frac{y^2)/9 =1	\frac{x^{2}}{25}+\frac{y^{2}}{9}=1
foci y^2=16x	foci\:y^{2}=16x
(x-3)^2+(y+5)^2=16	(x-3)^{2}+(y+5)^{2}=16
y^2-8x-16=0	y^{2}-8x-16=0
foci (x^2)/(16)-(y^2)/(25)=1	foci\:\frac{x^{2}}{16}-\frac{y^{2}}{25}=1
y^2-4x^2+4x-2y-4=0	y^{2}-4x^{2}+4x-2y-4=0
x^2+y^2+2x=0	x^{2}+y^{2}+2x=0
directrix y^2=-4x	directrix\:y^{2}=-4x
y^2-(x^2)/9 =1	y^{2}-\frac{x^{2}}{9}=1
(x^2)/9-(y^2)/(64)=1	\frac{x^{2}}{9}-\frac{y^{2}}{64}=1
((x-3)^2)/5+((y-1)^2)/(15)=1	\frac{(x-3)^{2}}{5}+\frac{(y-1)^{2}}{15}=1

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