Ellipse and Hyperbola Equations

Identify the vertices of the hyperbola

• (4,22)(4,-2)

• (10,16)(10,-8)

• (10,14)(10,-6)

• (4,20)(4,0)

• a=25, b=4

• a=5, b=2

• a=4, b=-2

• a=0, b=0

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 distance between the 2 foci?

• 6

• 8

• 10

• 12

Which of the following equations of a hyperbola have a horizontal transverse axis? Select all that apply.

• 
• 
• 
• 

What is the center of the ellipse?

• (0, 0)

• (1, 5)

• (1, 0)

• (0, 1)

Find the ordered pairs of the vertices of the conic pictured.

• (-4, -4) and (6, -4)

• (4, 4) and (-6, 4)

• (-1, -1) and (-1, 9)

• The conic has no vertices.

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)

Identify the conic:
4x² – 5y² + 2x – 8y + 10 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

Identify the conic:
25x² + 5y² + 6x + 4y +2 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola