Conics Review: Parabolas, Circles, & Ellipses

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

• (1,4)
• (-1,6)
• (-1,2)
• (-3,4)

Tags

CCSS.HSG.GPE.A.2

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4
• x = 2
• y = -4
• y = -6

Tags

CCSS.HSG.GPE.A.2

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

Tags

CCSS.HSG.GPE.A.2

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)

Tags

CCSS.HSG.GPE.A.2

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

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

Tags

CCSS.HSG.GPE.A.2

Which direction does this parabola open?

• Up
• Down
• Left
• Right

Tags

CCSS.HSF-IF.C.7A

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1

Vertices (endpoints of Major Axis)?

• (-3 , 6) and (-3 , -2)

• (-1 , 2) and (-5 , 2)

• (3 , 6) and (3 , 4)

• (√12 , 4) and (4 , √12)

Foci?

• (-3 , 4) and (-3 , 0)

• (3 , -4) and (3 , 0)

• (-3 , -4) and (-3 , 0)

• (-3 , 4) and (3 , 0)

Tags

CCSS.HSG.GPE.A.1

Write the standard for for the equation of the ellipse with the given characteristics.

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• 
•