Conic Sections Summative Assessment

A parabola is the set of all points equidistant from the focus and the ______________

A(n) _________ is the set of all points such that the sum of the distances from the point to the foci is constant.

A(n) _______________ is the set of all points such that the difference in the distances between a point on the curve and the foci is constant.

The focus of the parabola defined by the equation

 $\left(y-2\right)^2=-8\left(x+4\right)$  is 

The equation for the directrix of the parabola defined by the equation

 $\left(x+4\right)^2=-8\left(y+2\right)$  

The equation of the parabola whose focus is located at (-1,3) and whose directrix has the equation

 $x=-5$  is

•  $\left(x-1\right)^2=16\left(y+3\right)$  

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

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

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

Tags

CCSS.HSG.GPE.A.2

The foci of the ellipse

 $\frac{x^2}{25}+\frac{\left(y-1\right)^2}{16}=1$  

Tags

CCSS.HSG.GPE.A.1

An ellipse has vertices at

 $\left(2,2\right)\$ and  $\left(2,-10\right)$  . It has co-vertices at  $\left(2\pm2\sqrt{5},2\right)$  . Where are its foci located?

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

•  $\left(2,6\right),\left(2,-14\right)$  

•  $\left(2,-4\right)$  

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

Tags

CCSS.HSG.GPE.A.1

 $y^2+2y-8x-23=0$  is a parabola whose focus is located at __________

 $4x^2+24x+25y^2-50y-29=0$  

The length of the major axis of the ellipse given by equation above is 

Tags

CCSS.HSG.GPE.A.1