🦋 15.5 Hyperbolas

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 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)

A hyperbola has vertices (±5, 0) and one focus at (6, 0). What is the equation of the hyperbola in standard form?

• x²/25 + y²/11 = 1
• x²/5 - y²/11 = 1
• x²/11- y²/25 = 1
• x²/25 - y²/11= 1

Find the equation of hyperbola.

• (x - 2)² / 16 - (y + 3)² / 20 = 1
• (x + 3)² / 16 - (y - 2)² / 20 = 1
• (x - 2)² / 20 - (y + 3)² / 16 = 1
• (y + 3)² / 16 - (x - 2)² / 20 = 1

What is the equation of this hyperbola?

• 
• 
• 
• 

Which of the following is true given this equation of a hyperbola?

• It opens up and down because y is first

• It left and right because 25 > 16

What is the value of a² for the given hyperbola?

• 1
• 5
• 25
• 16

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

What are the vertices of the hyperbola?

• (0, 5) and (0, -5)
• (5, 0) and (-5, 0)
• (0, 25) and (-25, 0)
• (0, 0) and (0, 5)