Parabolas and Ellipses

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

• y = 2

• y = 3

• y = -2

• y = -6

The focus of a shifted parabola is at (2,1) and the vertex is at (-4,1).  What is the equation of the parabola?

• (y+4)²=24(x-1)

• (y-4)²=6(x+1)

• (y-1)²= -6(x+4)

• (x+4)²=24(y-1)

What is p in the equation of the shifted parabola?
 (y-9)² = -40(x+4)

• p = - 10

• p = 10

• p = -40

• p = 40

What are the vertices of the shifted ellipse?

• (0, 0)

• (7, 1) and (-1, 1)

• (3, -5) and (3, 7)

• (3, 1)

Tags

CCSS.HSG.GPE.A.1

How has this ellipse been shifted?

• Right 1, Up 3

• Right 7, Up 1

• Right 3, Up 1

• Right 3

Tags

CCSS.HSG.CO.A.2

Given a shifted ellipse with vertices (-7, -3), (13, - 3) and foci (- 5, -3) , (11 , -3), what are a and b?

• a = 10 , b = 6

• a = 6 , b = 10

• a = 36 , b = 100

• a = 100 , b = 36

Tags

CCSS.HSG.GPE.A.1

Given a shifted ellipse with vertices (4, 3), (4, - 9) and the length of minor axis is 8, what are a and b?

• a = 6, b = 3

• a = 6, b = 4

• a = 36, b = 16

• a = 4, b = 6

Tags

CCSS.HSG.GPE.A.1

What are the foci of the shifted ellipse?

• (-5,1) and (-1,1)

• (±√3,0)

• (0,1) and (-6,1)

• (√3 - 3,1) and (-√3 - 3,1)

Tags

CCSS.HSG.GPE.A.1

What is the directrix of this parabola?

• x = -3

• y = -3

• x = 3

• y = 3

Identify the vertex.

• A

• B

• C

• D