Hyperbolas

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

Tags

CCSS.HSG.GPE.A.3

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

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

Tags

CCSS.HSG.GPE.A.3

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

Tags

CCSS.HSG.GPE.A.3

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)

Tags

CCSS.HSG.GPE.A.3

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

Tags

CCSS.HSG.GPE.A.3

What is the value of a² for the given hyperbola?

• 1
• 5
• 25
• 16

Tags

CCSS.HSG.GPE.A.3