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Hyperbolas Practice

Authored by Sterling Bristow

Mathematics

8th - 12th Grade

CCSS covered

Used 5+ times

Hyperbolas Practice
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19 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Is the hyperbola vertical or horizontal? 

Vertical
Horizontal

Tags

CCSS.HSG.GPE.A.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Find the equation of hyperbola.

(x2)216(y+3)220=1\frac{\left(x-2\right)^2}{16}-\frac{\left(y+3\right)^2}{20}=1

(x+3)216(y2)220=1\frac{\left(x+3\right)^2}{16}-\frac{\left(y-2\right)^2}{20}=1

(x2)220(y+3)216=1\frac{\left(x-2\right)^2}{20}-\frac{\left(y+3\right)^2}{16}=1

(y+3)216(x2)220=1\frac{\left(y+3\right)^2}{16}-\frac{\left(x-2\right)^2}{20}=1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the center of the hyperbola?

(0, 4)
(4, 0)
(-4, 0)
(0, -4)

4.

MULTIPLE CHOICE QUESTION

5 mins • 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)

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the a and b values for the following hyperbola?
 (x4)225(y+2)24=1\frac{\left(x-4\right)^2}{25}-\frac{\left(y+2\right)^2}{4}=1  

a=25, b=4

a=5, b=2

a=4, b=-2

a=0, b=0

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the asymptotes of  the hyperbola below
 (x2)249(y+1)2324=1\frac{\left(x-2\right)^2}{49}-\frac{\left(y+1\right)^2}{324}=1  

 y=±187y=\pm\frac{18}{7}  

 y=±718y=\pm\frac{7}{18}  

 y=±49324y=\pm\frac{49}{324}  

 y=±32449y=\pm\frac{324}{49}  

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

The graph of the hyperbola is . . .

A

B

C

D

Tags

CCSS.HSG.GPE.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

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