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Hyperbolas

Authored by Kevin Koch

Mathematics

9th - 12th Grade

CCSS covered

Used 320+ times

Hyperbolas
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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the equation describing the relationship between dimensions and foci of a hyperbola?

c2 = a2 + b2
c2 = a2 - b2
4p
(x-h)2 + (y-k)2 = r2

Tags

CCSS.HSG.GPE.A.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the value of a2 for the given hyperbola?

1
5
25
16

Tags

CCSS.HSG.GPE.A.3

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What are the foci of the hyperbola with the equation y²/12 - x²/5 = 1

(0, ±√17)
(±√17, 0)
(0, ±√7)
(±√7, 0)

Tags

CCSS.HSG.GPE.A.3

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Is the hyperbola vertical or horizontal? 

Vertical
Horizontal

Tags

CCSS.HSG.GPE.A.3

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What are the asymptotes of the hyperbola in the picture?

y = x and y = –x
y = 2x and y = –2x
y = 1/2x and y = –1/2x
y = 2x and y = 4x

Tags

CCSS.HSG.GPE.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

What are the vertices of the hyperbola?

(0, 3) and (0, -3)
(-4, 3) and (-4, -3)
(0, 1) and (0, -1)
(4, 0) and (-4, 0)

Tags

CCSS.HSG.GPE.A.3

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A hyperbola centered at (-3, 2) with a horizontal tranverse axis has asymptotes y = ± ¾x.  Which of the following could be the equation of the hyperbola in standard form?

(x + 3)2/16 + (y - 2)2/ 9 = 1
(x + 3)2/ 4 - (y - 2)2/ 3 = 1
(x + 3)2/16 - (y - 2)2/ 9 = 1
(x + 3)2/ 9 - (y - 2)2/ 16 = 1

Tags

CCSS.HSG.GPE.A.3

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