Parabolas Review

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

• true
• false

Tags

CCSS.HSG.GPE.A.2

All parabolas with a vertical directrix open the left or right.

• true
• false

Tags

CCSS.HSF-IF.C.7A

 $\left(y+1\right)^2=-4\left(x-2\right)$  

Which direction does this parabola open?

• Up

• Down

• Left

• Right

 $\left(y-4\right)^2=-8\left(x+1\right)$  

What are the coordinates for the focus?

• (1,4)

• (-1,6)

• (-1,2)

• (-3,4)

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

• True

• False

• Cannot be determined

• Nobody cares

Tags

CCSS.HSA.REI.C.7

 $\left(x+3\right)^2=4\left(y+5\right)$  

What is the equation of the directrix?

• x = 4

• x = 2

• y = -4

• y = -6

The focus is at (2,0) and the vertex is at (-4,0). What is the equation of the parabola?

• $y^2=24\left(x+4\right)$

• $\left(y+4\right)^2=-12x$

• $x^2=16\left(y+4\right)$

• $\left(x+4\right)^2=-20y$

Given this directrix and vertex, what would the equation of the parabola be?

• $\left(y-2\right)^2=12\left(x-1\right)$

• $\left(y-2\right)^2=6\left(x-1\right)$

• $\left(x-1\right)^2=12\left(y-2\right)$

• $\left(x-1\right)^2=6\left(y-2\right)$

 $\left(y+5\right)^2=-12\left(x-2\right)$  

What is the focus of the parabola?

• (2, - 5)

• ( -5, 2)

• (1 , -5 )

• (-1, -5 )

Find the solution(s) to the system:

 $x^2+6x-y=-10$    

 $2x+y=-6$     

• (3,18) and (-4, 15)

• (5,2) and (5,-9)

• (-4,-4)

• (-4,2)

Tags

CCSS.HSA.REI.C.7