Hyperbolas 5.11.23

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

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

Tags

CCSS.HSG.CO.C.10

What is the value of a² for the given hyperbola?

• 1
• 5
• 25
• 16

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

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 center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

• (0, ±√17)

• (±√17, 0)

• (0, ±√7)

• (±√7, 0)

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)

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

The graph of the hyperbola is . . .

• A

• B

• C

• D