6.3 Hyperbola Review

Determine the length of the transverse axis

• 1.5

• 2

• 3

• 4

Determine the equation of the hyperbola.

• $\frac{x^2}{4}-y^2=1$

• $\frac{x^2}{2}-y^2=1$

• $\frac{x^2}{4}+y^2=1$

• $\frac{x^2}{2}+y^2=1$

What is the orientation of the hyperbola?

 $\frac{x^2}{4}-\frac{y^2}{25}=1$  

• vertical

• horizontal

What is the "a" value of this hyperbola?

• 3

• 9

• 12

• 144

• 153

What is the "b" value of this hyperbola?

• 3

• 9

• 12

• 144

• 153

What is the "c" value ( the Foci) of this hyperbola?

• 5.83

• 4.45

• 3.34

• 6.5

• 7.25

What is the length of the transverse axis of this Hyperbola?

• 6

• 7

• 12

• 14

• 18

What is the length of the conjugate axis?

• A

• B

• C

• D

What are the a and b values for the following hyperbola?
 $\frac{x^2}{25}-\frac{y^2}{4}=1$  

• a=25, b=4

• a=5, b=2

• a=4, b=-2

• a=2, b=5

Determine the length of the transverse axis and the conjugate axis. Determine the distance of the foci, c value.

 $\frac{y^2}{16}-\frac{x^2}{4}=1$  

• transverse axis = 4 units   conjugate axis = 8 units     foci =  $2\sqrt{5}\approx4.5$  

• transverse axis = 8 units   conjugate axis = 4 units   foci =  $2\sqrt{5}\ \approx4.5$  

• transverse axis = 4 units   conjugate axis  = 8 units  foci =  $2\sqrt{3}\approx\ 3.5$  

• transverse axis = 8 units  conjugate axis = 4 units  foci =  $2\sqrt{3}\ \approx3.5$