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Parabolas and Ellipses

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Parabolas and Ellipses
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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

(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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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)

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

p = - 10

p = 10

p = -40

p = 40

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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