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Popular Geometry Problems
3x^2-15y^2+2x-3y=4
3x^{2}-15y^{2}+2x-3y=4
foci (x^2)/(100)+(y^2)/(64)=1
foci\:\frac{x^{2}}{100}+\frac{y^{2}}{64}=1
4x^2+y^2=16
4x^{2}+y^{2}=16
foci 4y^2-25x^2=100
foci\:4y^{2}-25x^{2}=100
vertices x^2
vertices\:x^{2}
directrix x^2=-4y
directrix\:x^{2}=-4y
asymptotes of (x^2)/4-(y^2)/4 =1
asymptotes\:\frac{x^{2}}{4}-\frac{y^{2}}{4}=1
(y-2)^2=(x-1)^2+(y+4)^2
(y-2)^{2}=(x-1)^{2}+(y+4)^{2}
x^2+y^2=9
x^{2}+y^{2}=9
eccentricity 16x^2+y^2=16
eccentricity\:16x^{2}+y^{2}=16
y^2=x+1
y^{2}=x+1
(y^2}{16}-\frac{x^2)/9 =1
\frac{y^{2}}{16}-\frac{x^{2}}{9}=1
vertices (x^2)/(49)+(y^2)/(16)=1
vertices\:\frac{x^{2}}{49}+\frac{y^{2}}{16}=1
asymptotes of (x^2}{16}-\frac{y^2)/9 =1
asymptotes\:\frac{x^{2}}{16}-\frac{y^{2}}{9}=1
4x^2+9y^2=36
4x^{2}+9y^{2}=36
y^2-x^2=1
y^{2}-x^{2}=1
((x-h)^2)/(a^2)+((y-k)^2)/(b^2)=1
\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1
foci x=-2y^2
foci\:x=-2y^{2}
x^2=20y
x^{2}=20y
foci (x^2)/4+(y^2)/(25)=1
foci\:\frac{x^{2}}{4}+\frac{y^{2}}{25}=1
((y-6)^2)/(64)-((x-8)^2)/(36)=1
\frac{(y-6)^{2}}{64}-\frac{(x-8)^{2}}{36}=1
y^2-4y-4x=0
y^{2}-4y-4x=0
y+4x<= x^2+2
y+4x\le\:x^{2}+2
foci (x^2}{25}-\frac{y^2)/9 =1
foci\:\frac{x^{2}}{25}-\frac{y^{2}}{9}=1
vertices f(x)=x^2+3x-4
vertices\:f(x)=x^{2}+3x-4
y^2=4x
y^{2}=4x
(y^2)/9-(x^2)/4 =1
\frac{y^{2}}{9}-\frac{x^{2}}{4}=1
x^2+4x+y^2-6y=-4
x^{2}+4x+y^{2}-6y=-4
x^2+y^2-2x+6y+6=0
x^{2}+y^{2}-2x+6y+6=0
x^2+y^2<= 16
x^{2}+y^{2}\le\:16
asymptotes of (y^2)/(64)-(x^2)/(36)=1
asymptotes\:\frac{y^{2}}{64}-\frac{x^{2}}{36}=1
vertices f(x)=-(x^2)/(10)+(9x)/(10)+11/5
vertices\:f(x)=-\frac{x^{2}}{10}+\frac{9x}{10}+\frac{11}{5}
asymptotes of 9x^2-16y^2=144
asymptotes\:9x^{2}-16y^{2}=144
3x^2-3y=0
3x^{2}-3y=0
axis y^2=4x
axis\:y^{2}=4x
y^2=x-2
y^{2}=x-2
(x+92)^2+(y+54)^2=73
(x+92)^{2}+(y+54)^{2}=73
x^2+y^2+4y-60=0
x^{2}+y^{2}+4y-60=0
axis x^2-6x+5y=-34
axis\:x^{2}-6x+5y=-34
vertices (y^2)/(36)-(x^2)/(64)=1
vertices\:\frac{y^{2}}{36}-\frac{x^{2}}{64}=1
(x^2}{16}+\frac{y^2)/4 =1
\frac{x^{2}}{16}+\frac{y^{2}}{4}=1
x^2+y^2<= 4
x^{2}+y^{2}\le\:4
x^2+2x+y^2=8
x^{2}+2x+y^{2}=8
directrix y^2=12x
directrix\:y^{2}=12x
x^2+y^2=2
x^{2}+y^{2}=2
vertices (x^2)/(25)-(y^2)/(16)=1
vertices\:\frac{x^{2}}{25}-\frac{y^{2}}{16}=1
foci (x^2)/9-(y^2)/(16)=1
foci\:\frac{x^{2}}{9}-\frac{y^{2}}{16}=1
vertices f(x)=3x^2-12x+4
vertices\:f(x)=3x^{2}-12x+4
vertices (x^2)/4-(y^2)/(16)=1
vertices\:\frac{x^{2}}{4}-\frac{y^{2}}{16}=1
x^2-6x+y^2-32y=0
x^{2}-6x+y^{2}-32y=0
directrix y=3x^2
directrix\:y=3x^{2}
vertices (y^2}{64}-\frac{x^2)/9 =1
vertices\:\frac{y^{2}}{64}-\frac{x^{2}}{9}=1
(x^2)/4+y^2=1
\frac{x^{2}}{4}+y^{2}=1
foci 16x^2+y^2=16
foci\:16x^{2}+y^{2}=16
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
((x-1)^2}{25}-\frac{(y+3)^2)/9 =1
\frac{(x-1)^{2}}{25}-\frac{(y+3)^{2}}{9}=1
vertices x^2-24x-12
vertices\:x^{2}-24x-12
vertices f(x)=x^2+8x+15
vertices\:f(x)=x^{2}+8x+15
(y^2}{16}-\frac{x^2)/4 =1
\frac{y^{2}}{16}-\frac{x^{2}}{4}=1
foci 9x^2-4y^2-72x=0
foci\:9x^{2}-4y^{2}-72x=0
2x^2+2y^2-12x+8y-24=0
2x^{2}+2y^{2}-12x+8y-24=0
(x^2)/(a^2)+(y^2)/(a^2)=1
\frac{x^{2}}{a^{2}}+\frac{y^{2}}{a^{2}}=1
vertices f(x)=2x^2+28x+105
vertices\:f(x)=2x^{2}+28x+105
9x^2+9y^2+18x-18y+14=0
9x^{2}+9y^{2}+18x-18y+14=0
foci ((y+3)^2)/9-((x-2)^2)/(16)=1
foci\:\frac{(y+3)^{2}}{9}-\frac{(x-2)^{2}}{16}=1
center x^2+y^2+6x-4y+3=0
center\:x^{2}+y^{2}+6x-4y+3=0
x=4-y^2
x=4-y^{2}
x^2+9y^2=9
x^{2}+9y^{2}=9
y^2-10y-12x+37=0
y^{2}-10y-12x+37=0
vertices (x^2}{25}+\frac{y^2)/9 =1
vertices\:\frac{x^{2}}{25}+\frac{y^{2}}{9}=1
directrix x^2=8y
directrix\:x^{2}=8y
x^2=y^2
x^{2}=y^{2}
y^2=-20x
y^{2}=-20x
directrix y^2=4x
directrix\:y^{2}=4x
foci (x^2)/4+(y^2)/(16)=1
foci\:\frac{x^{2}}{4}+\frac{y^{2}}{16}=1
vertices f(x)=x^2-2x-15
vertices\:f(x)=x^{2}-2x-15
(x-1)^2+y^2=1
(x-1)^{2}+y^{2}=1
eccentricity 36x^2+y^2=36
eccentricity\:36x^{2}+y^{2}=36
x^2+y^2<9
x^{2}+y^{2}<9
asymptotes of 4x^2-9y^2=36
asymptotes\:4x^{2}-9y^{2}=36
foci (x^2)/7-(y^2)/2 =1
foci\:\frac{x^{2}}{7}-\frac{y^{2}}{2}=1
foci 9x^2+16y^2=144
foci\:9x^{2}+16y^{2}=144
x^2+2y^2-8y=0
x^{2}+2y^{2}-8y=0
vertices f(x)=x^2-4x-12
vertices\:f(x)=x^{2}-4x-12
(x^2}{49}+\frac{y^2)/9 =1
\frac{x^{2}}{49}+\frac{y^{2}}{9}=1
foci (x^2)/9+(y^2)/4 =1
foci\:\frac{x^{2}}{9}+\frac{y^{2}}{4}=1
focus x^2+x+1
focus\:x^{2}+x+1
x^2+4y^2-6x+16y+21=0
x^{2}+4y^{2}-6x+16y+21=0
(x^2}{25}+\frac{y^2)/4 =1
\frac{x^{2}}{25}+\frac{y^{2}}{4}=1
center x^2+y^2-2x+4y-31=0
center\:x^{2}+y^{2}-2x+4y-31=0
asymptotes of 9x^2-9y^2+18x+36y=63
asymptotes\:9x^{2}-9y^{2}+18x+36y=63
foci (x^2}{36}+\frac{y^2)/4 =1
foci\:\frac{x^{2}}{36}+\frac{y^{2}}{4}=1
x^2+y^2+6x-4y=0
x^{2}+y^{2}+6x-4y=0
foci y^2=4x
foci\:y^{2}=4x
(x^2)/9-(y^2)/(25)=1
\frac{x^{2}}{9}-\frac{y^{2}}{25}=1
foci ((x+3)^2)/(16)+((y-5)^2)/(25)=1
foci\:\frac{(x+3)^{2}}{16}+\frac{(y-5)^{2}}{25}=1
vertices (x^2)/4-(y^2)/9 =1
vertices\:\frac{x^{2}}{4}-\frac{y^{2}}{9}=1
vertices f(x)=2x^2-x-6
vertices\:f(x)=2x^{2}-x-6
vertices 9x^2-4y^2-72x=0
vertices\:9x^{2}-4y^{2}-72x=0
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