Hyperbola Quiz Review

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 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 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)

Write the standard form of the following equation:
x² - 4y² + 6x - 8y = 11

• A
• B
• C
• D

Write the standard form of the following equation:
9y² - 4x² + 36y + 32x - 64 = 0

• A
• B
• C
• D

What is the equation for the foci points on a hyperbola?

• c² = a² + b²
• c² = a² - b²
• 1/4d
• (x-h)² + (y-k)² = r²