Hyperbolas, Ellipses, and Circles

What is the equation of a circle with radius 4 and center (0, 8)?

• x² + (y-8)² = 16
• (x-8)² + y² = 4
• x² + (y-8)² = 4
• x² + (y+8)² = 16

Tags

CCSS.HSG.GPE.A.1

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

• 4
• 2
• 3
• 16

Tags

CCSS.HSG.GPE.A.1

What are the foci of the shifted ellipse?

• (-5,1) and (-1,1)
• (±√3,0)
• (0,1) and (-6,1)
• (√3 - 3,1) and (-√3 - 3,1)

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

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

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• 
• 

Tags

CCSS.HSG.GPE.A.1

• (-3, 5)

• (1, 5)

• (-1, 5)

• (0, 5)

Which conic section is represented by the equation

2x² - 16x - 12y + 20 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

The vertices of a hyperbola are located at (1,1) and (5 ,1). Which are the coordinates of the center?

• (3,1)

• (3,0)

• (1,3)

• (9,1)