Rewriting Equations of Ellipses in Standard Form

 $4x^2+y^2+64x-2y+221=0$  

•  $\frac{\left(x+1\right)^2}{9}+\frac{\left(y+8\right)^2}{36}=1$  

•  $\frac{\left(x+8\right)^2}{4}+\frac{\left(y-1\right)^2}{16}=1$  

•  $\frac{\left(x+8\right)^2}{36}+\frac{\left(y-1\right)^2}{9}=1$  

•  $\frac{\left(x+8\right)^2}{9}+\frac{\left(y-1\right)^2}{36}=1$  

Tags

CCSS.HSG.GPE.A.1

 $x^2+9y^2+8x+18y-119=0$  

•  $\frac{\left(x-1\right)^2}{144}+\frac{\left(y-4\right)^2}{16}=1$  

•  $\frac{\left(x+4\right)^2}{144}+\frac{\left(y+1\right)^2}{16}=1$  

•  $\frac{\left(x+4\right)^2}{121}+\frac{\left(y+1\right)^2}{16}=1$  

•  $\frac{\left(x+1\right)^2}{144}+\frac{\left(y-4\right)^2}{16}=1$  

Tags

CCSS.HSG.GPE.A.1

 $x^2+3y^2+6x-54y+192=0$  

•  $\frac{\left(x+3\right)^2}{60}+\frac{\left(y+9\right)^2}{20}=1$  

•  $\frac{\left(x+3\right)^2}{60}+\frac{\left(y-9\right)^2}{20}=1$  

•  $\frac{\left(x+9\right)^2}{60}+\frac{\left(y-3\right)^2}{20}=1$  

•  $\frac{\left(x-3\right)^2}{9}+\frac{\left(y+9\right)^2}{4}=1$  

Tags

CCSS.HSG.GPE.A.1

 $7x^2+5y^2-14x-20y-148=0$  

•  $\frac{\left(x-1\right)^2}{35}+\frac{\left(y-2\right)^2}{25}=1$  

•  $\frac{\left(x-2\right)^2}{25}+\frac{\left(y+1\right)^2}{35}=1$  

•  $\frac{\left(x-1\right)^2}{25}+\frac{\left(y-2\right)^2}{35}=1$  

•  $\frac{\left(x+2\right)^2}{25}+\frac{\left(y+1\right)^2}{35}=1$  

Tags

CCSS.HSG.GPE.A.1

 $9x^2+4y^2-108x+24y+36=0$  

•  $\frac{\left(x-6\right)^2}{36}+\frac{\left(y+3\right)^2}{81}=1$  

•  $\frac{\left(x-1\right)^2}{36}+\frac{\left(y+5\right)^2}{81}=1$  

•  $\frac{\left(x-6\right)^2}{81}+\frac{\left(y+3\right)^2}{36}=1$  

•  $\frac{\left(x-3\right)^2}{81}+\frac{\left(y+6\right)^2}{36}=1$  

Tags

CCSS.HSG.GPE.A.1

 $5x^2+2y^2+50x+8y-17=0$  

•  $\frac{\left(x+1\right)^2}{30}+\frac{\left(y-4\right)^2}{75}=1$  

•  $\frac{\left(x+5\right)^2}{30}+\frac{\left(y+2\right)^2}{75}=1$  

•  $\frac{\left(x-5\right)^2}{30}+\frac{\left(y-2\right)^2}{75}=1$  

•  $\frac{\left(x+5\right)^2}{75}+\frac{\left(y+2\right)^2}{30}=1$  

Tags

CCSS.HSG.GPE.A.1