Conics: Circles, Parabolas, & Ellipses

The focus is always inside the parabola.

• true
• false

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

• true
• false

True or False?
When the x-part is squared, the parabola opens up or down.

• True
• False

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)
• (-1,6)
• (-1,2)
• (-3,4)

(x+3)² = 4(y+5)
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?

• y² = 24(x+4)
• (y+4)² = -12x
• x² = 16(y+4)
• (x+4)²  = -20y

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

• (y-2)² = 12(x-1)
• (y-2)² = 6(x-1)
• (x-1)² = 12(y-2)
• (x-1)² = 6(y-2)

What is the focus of the following parabola?
(y + 5)² = -12 (x - 2)

• (2, - 5)
• ( -5, 2)
• (1 , -5 )
• (-1, -5 )

Which equation defines the ellipse shown?

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.1

Center?

• (-3 , 2)

• (3 , -2)

• (12 , 16)

• (√12 , 4)

Tags

CCSS.HSG.GPE.A.1