Conic Sections: Parabolas, Circles, Ellipses and Hyperbolas

What is the coordinates of the center and the radius of the circle with equation:

(x + 7)^2 + (y - 6)^2 = 64 ?

• Center (7,-6)

  Radius = 8 units

• Center (-7,6)

  Radius = 64 units

• Center (-7,6)

  Radius = 8 units

• Center (7,-6)

  Radius = 64 units

Tags

CCSS.HSG.GPE.A.1

x + 3 = (y  - 1)²

• Parabola Opens Up
• Parabola Opens Down
• Parabola Opens Right
• Parabola Opens Left

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242
• 11
• 121
• 22

Tags

CCSS.HSG.GPE.A.1

What direction does the parabola open?
(y-9)² = -40(x+4)

• Up
• Down
• Left
• Right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Classify the conic section.

• Circle
• Ellipse
• Hyperbola
• Parabola

Tags

CCSS.HSG.GPE.A.1

Find the foci of this ellipse?

• (8, -1), (0, -1)
• (-1.8, -1), (9.8, -1)
• (4, 3), (4, -5)
• (4, 4.8), (4, -6.8)

Tags

CCSS.HSG.GPE.A.1

What are the vertices of the shifted ellipse?

• (1, 5) and (1, -5)
• (0, 5) and (0, -5)
• (1, 1) and (1, -1)
• (0, 1) and (0, -1)

Tags

CCSS.HSG.GPE.A.1

What is the center of the shifted ellipse?

• (0,0)
• (-3,1)
• (1,-3)
• (3,-1)

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

Classify the conic section.

• Circle
• Ellipse
• Hyperbola
• Parabola

Tags

CCSS.HSG.GPE.A.1

CCSS.HSG.GPE.A.2

CCSS.HSG.GPE.A.3