Hyperbola Key Features

What is the center of the following hyperbola?
 $\frac{\left(x-4\right)^2}{25}-\frac{\left(y+2\right)^2}{4}=1$  

• (5, 2)

• (0, 0)

• (4, -2)

• (25, 4)

Tags

CCSS.HSG.GPE.A.1

Is the following hyperbola vertical or horizontal?
 $\frac{\left(x-4\right)^2}{25}-\frac{\left(y+2\right)^2}{4}=1$  

• Vertical

• Horizontal

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

• a=25, b=4

• a=5, b=2

• a=4, b=-2

• a=0, b=0

What is the center of the following hyperbola?
 $4x^2-9y^2-8x-72y=176$  

• (36, 25)

• (9, 4)

• (1, 4)

• (0, 0)

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3

How do you know if a hyperbola opens up and down?

• x comes first

• y comes first

• a is the first denominator

• b is the first denominator

What is the center of this hyperbola?

• Center(-1,4)

• Center(1,4)

• Center(-1,-4)

• Center(1,-4)

Which of the following equations of a hyperbola have a horizontal transverse axis? Select all that apply.

• 
• 
• 
• 

Coordinates of the Vertices?

• (0 , 5) ; (0 , -5)

• (0 , 9) ; (0 , -9)

• (5 , 0) ; (-5 , 0)

• (9 , 0) ; (-9 , 0)

Tags

CCSS.HSG.GPE.A.3

Vertices ?

• (-15 , 2) ; (9 , 2)

• (15 , 2) ; (-9 , 2)

• (-15 , -2) ; (9 , -2)

• (15 , -2) ; (-9 , -2)

Tags

CCSS.HSG.GPE.A.3