Hyperbolas

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3

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 is the equation describing the dimensions and the foci of an ellipse?

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

Tags

CCSS.HSG.GPE.A.1

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)

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

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)

Tags

CCSS.HSG.GPE.A.3

What is the value of a² for the given hyperbola?

• 1
• -2
• 25
• 16

Tags

CCSS.HSG.GPE.A.3

What are the vertices of the hyperbola with the equation 8x² - 9y² = 72?

• (±2√2, 0)
• (±3, 0)
• (0, ±3)
• (0, ±2√2)

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

A hyperbola with a horizontal tranverse axis has asymptotes y = ± ¾x.  Which of the following could be the equation of the hyperbola in standard form?

• x²/3 + y²/4 = 1
• x²/4 - y²/3 = 1
• x²/16 - y²/9 = 1
• x²/25 - y²/16 = 1