Hyperbolas and Ellipses

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

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

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

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3

What is the center of the shifted ellipse?

• (0,0)
• (-3,1)
• (1,-3)
• (3,-1)

Tags

CCSS.HSG.GPE.A.1

What is the equation for the focus points on an ELLIPSE?

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

Tags

CCSS.HSG.GPE.A.1

The line containing the center and foci.

• Major Axis
• Minor Axis
• Vertices
• Co-Vertices

What are the vertices of this Ellipse?

• (-5, 5), (1, 5)
• (-2, 8), (-2, 2)
• (-2, 12), (-2, -2)
• (-9, 5) , (5, 5)

Tags

CCSS.HSG.GPE.A.1

What is the value of a and b for an ellipse with the following vertices and foci
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)

• a = 10 , b = 6
• a = 6 , b = 10
• a = 36 , b = 100
• a = 100 , b = 36

Tags

CCSS.HSG.GPE.A.1

Identify the center and the length of a and b.

• C: (0,4)  a= 25, b=4
• C: (0,0)  a= 4, b=25
• C: (0,5)  a= 2, b=5
• C: (0,0)  a= 5, b=2

Tags

CCSS.HSG.GPE.A.1