Hyperbola

In a hyperbola, which is the longest segment?

• a

• b

• c

Tags

CCSS.HSG.GPE.A.3

Determine the length of the transverse axis

• 1.5

• 2

• 3

• 4

Tags

CCSS.HSG.GPE.A.3

Determine the value of b

• 1

• 2

• 3

• 4

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

What is the distance between the 2 foci?

• 6

• 8

• 10

• 12

Tags

CCSS.HSG.GPE.A.3

Determine the equation of the hyperbola.

• $\frac{x^2}{4}-y^2=1$

• $\frac{x^2}{2}-y^2=1$

• $\frac{x^2}{4}+y^2=1$

• $\frac{x^2}{2}+y^2=1$

Tags

CCSS.HSG.GPE.A.3

CCSS.HSA.CED.A.2

Determine the equation of the hyperbola.

• $\frac{\left(y-1\right)^2}{4}-\frac{\left(x-1\right)^2}{12}=1$

• $\frac{y^2}{9}-\frac{x^2}{16}=1$

• $\frac{x^2}{16}-\frac{y^2}{9}=1$

• $\frac{\left(x-1\right)^2}{16}-\frac{\left(y-1\right)^2}{4}=1$

Tags

CCSS.HSG.GPE.A.3

What is the orientation of the hyperbola?

 $\frac{x^2}{4}-\frac{y^2}{25}=1$  

• vertical

• horizontal

Which of the following is a vertex?

 $\frac{\left(y-1\right)^2}{4}-\frac{\left(x+2\right)^2}{9}=1$  

•  $\left(0,2\right)$  

•  $\left(3,0\right)$  

•  $\left(-2,\ -1\right)$  

•  $\left(1,1\right)$  

Tags

CCSS.HSG.GPE.A.3

What is the distance between the two foci?

 $\frac{\left(x+4\right)^2}{36}-\frac{\left(y-5\right)^2}{4}=1$  

•  $2\sqrt{10}$  

•  $4\sqrt{10}$  

•  $4\sqrt{2}$  

•  $8\sqrt{2}$  

Tags

CCSS.HSG.GPE.A.3

Which is the graph of the hyperbola?

 $\left(x-1\right)^2-\frac{\left(y+2\right)^2}{9}=1$  

• 
• 
• 
• 

Tags

CCSS.HSG.GPE.A.3

CCSS.HSA.REI.D.10