Circles, Ellipses, Hyperbolas

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

Determine the center and radius: x² + y² + 14x - 2y = -1

• center= (-7,2) radius= 3
• center= (-7,1) radius= 7
• center= (-4,1) radius= 5

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 is the equation of the circle above?

• (x-4)²+(y-3)²=4

• (x-4)²+(y-3)²=2

• (x+4)²+(y+3)²=4

• (x+4)²+(y+3)²=2

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)

Tags

CCSS.HSG.GPE.A.1

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

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

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.HSG.GPE.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3