Hyperbolas Quiz

What is the value of a² for the given hyperbola?

• 1
• 5
• 25
• 16

Tags

CCSS.HSG.GPE.A.3

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.3

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

A hyperbola centered at (-3, 2) with a horizontal tranverse axis has asymptotes y = ± ¾x.  Which of the following could be the equation of the hyperbola in standard form?

• (x + 3)²/16 + (y - 2)²/ 9 = 1
• (x + 3)²/ 4 - (y - 2)²/ 3 = 1
• (x + 3)²/16 - (y - 2)²/ 9 = 1
• (x + 3)²/ 9 - (y - 2)²/ 16 = 1

Tags

CCSS.HSG.GPE.A.3

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

Written in standard form, this would be . . .

• A

• B

• C

• D

Classify the conic.

• Parabola

• Circle

• Hyperbola

• Ellipse

Classify the conic.

• Parabola

• Circle

• Hyperbola

• Ellipse

Classify the conic.

• Parabola

• Circle

• Hyperbola

• Ellipse

Essentricity ?

• 13/12

• 12/13

• 13/5

• 5/12