In Class: Hyperbolas Practice

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

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

• (0, ±√17)
• (±√17, 0)
• (0, ±√7)
• (±√7, 0)

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

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

What is the equation of this hyperbola?

• 
• 
• 
• 

What are the foci of the hyperbola?

• (6+√74,-10)(6-√74,-10)
• (10+√74,-6)(10-√74,-6)
• (10,-6+√74)(10,-6-√74)
• (-10,-6+√74)(-10,-6-√74)

What is the equation of this hyperbola?

• 
• 
• 
• 

What are the foci of the hyperbola?

• (6+√74,-10)(6-√74,-10)
• (10+√74,-6)(10-√74,-6)
• (10,-6+√74)(10,-6-√74)
• (-10,-6+√74)(-10,-6-√74)

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 are the coordinates of the vertices ?

• (-15 , 2) ; (9 , 2)

• (15 , 2) ; (-9 , 2)

• (-15 , -2) ; (9 , -2)

• (15 , -2) ; (-9 , -2)