PARABOLA (ASSESSMENT)

How do we define a parabola using its focus and directrix?

• A parabola is the set of all points that are the same distance from a single point, called the focus of the parabola, and a line, called the directrix of a parabola.

• A parabola is the set of all points that have a greater y value than a single point, called the focus of the parabola, and a lesser x value than a single point, called the directrix of the parabola.

• A parabola is a circle with a center point called the focus of the parabola, and a line from the center of the circle to the circle called the directrix of the parabola.

• A parabola is a square in which the center of the square is called the focus of the parabola, and the length of one side of the square is called the directrix of the parabola.

What is the standard equation of a parabola that opens right and whose vertex is at the origin?

• $x^2=4cy$

• $x^2=-4cy$

• $y^2=4cx$

• $y^2=-4cx$

What is the standard equation of a parabola that opens down and whose vertex is at

 $(h.k)?$  

•  $(x-h)^2=4c(y-k)$  

•  $(x-h)^2=-4c(y-k)$  

•  $(y-k)^2=4c(x-h)$  

•  $(y-k)^2=-4c(x-h)$  

What is the focus of the parabola

 $(y-5)^2=12(x-2)$  ?

•  $(5,5)$  

•  $(2,5)$  

•  $(0,5)$  

•  $(5,1)$  

Each point on the curve of a parabola is ____________ to focus and the directrix.

• equilateral

• perpendicular

• equidistant

• tangent

What is the vertex of the parabola

 $(y-2)^2=-8(x-1)$  ?

•  $(2,1)$  

•  $(-1,2)$  

•  $(1,2)$  

•  $(-1,-2)$  

Which parabola has a vertex at

 $(-3,0)$  ?

•  $(y+3)^2=8x$  

•  $(x+3)^2=8y$  

•  $(x-3)^2=8y$  

•  $(y-3)^2=8x$  

What is the vertex and focus of the parabola

 $(y-2)^2=-16(x-3)$  ?

• Vertex: (-3, -2) Focus: (-3, 14)

• Vertex: (-3, -2) Focus: (-3, -18)

• Vertex: (3, 2) Focus: (-1, -2)

• Vertex: (3, 2) Focus: (-1, 2)

What is the standard form of the equation of the parabola with Focus: (0, 7) and the vertex at the origin?

• $x^2=28y$

• $x^2=7y$

• $y^2=28x$

• $y^2=28x$

What is the standard equation of a parabola with 

Vertex (4,3)  and the focus is 2 units above the vertex?

• $(x+4)^2=8(y+3)$

• $(x-4)^2=8(y+3)$

• $(x-4)^2=8(y-3)$

• $(x+4)^2=8(y-3)$