practice

   $x^2-4x+139=-9y^2+72y$  

• circle

• ellipse

• hyperbola

• parabola

 $y^2+x-4y-1=0$  

• circle

• ellipse

• hyperbola

• parabola

 Which of the following represents the equation of a hyperbola?

•  $25x^2+25y^2+200x+250y-425=0$  

•  $25x^2+y^2+200x-250y-425=0$  

•  $-25x^2+y^2+200x-250y-425=0$  

•  $-25x^2+y+200x-425=0$  

 $\left(x-4\right)^2=8\left(y-3\right)$  Represents what type of conic?

• Hyperbola

• Ellipse

• Circle

• Parabola

Write the standard form of the conic by completing the square.

  $x^2+y^2+10y=39$  

•  $x^2+\left(y+5\right)^2=39$  

•   $x^2+\left(y+5\right)^2=64$  

•  $x^2+\left(y+10\right)^2=139$  

•  $x^2+\left(y+10\right)^2=39$  

Which is the equation to find c on an ellipse?

• $c^2=a^2+b^2$

• $c^2=a^2-b^2$

• $c=\frac{1}{4}d$

• $c=\sqrt{\left(x-h\right)^2+\left(y-k\right)^2}$

 $\frac{x^2}{169}+\frac{y^2}{49}=1$  

The length of the major axis  is ______

•   $338$  

•    $98$  

•   $26$  

•   $13$  

The following conic is a(n) ______________ and is ____________.

 $\frac{y^2}{25}-\frac{x^2}{25}=1$  

• Hyperbola, Vertical

• Ellipse, Horizontal

• Ellipse, Vertical

• Hyperbola, Horizontal

Name the conic and find its center

 $x^2+y^2+8x-4y+18=0$  

• Circle  $\left(4,-2\right)$  

• Circle  $\left(-4,2\right)$  

• Circle,  $\left(4,2\right)$  

• Circle,  $\left(-4,-2\right)$  

Name the conic section and list its vertices

 $9x^2-4y^2-54x-16y-79=0$  

• Hyperbola   $\left(3,4\right)\left(3,-8\right)$  

• Hyperbola  $\left(7,-2\right)\left(-1,-2\right)$  

• Hyperbola   $\left(9,-2\right)\left(-3,-2\right)$  

• Hyperbola    $\left(3,2\right)\left(3,-6\right)$