Conics

Which conic is given by (x-4)² = 8(y - 3)?

• Hyperbola
• Ellipse
• Circle
• Parabola

Tags

CCSS.HSG.GPE.A.2

CCSS.HSG.GPE.A.3

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units
• Center (4,3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 25 units
• Center (-4,-3)
  Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25
• (x+5)²/4 + (y+3)²/9 = 1
• (x-5)²/2 + (y-3)²/3 = 1
• (x-5)²/4 + (y-3)²/9 = 1

Tags

CCSS.HSG.GPE.A.1

Find the equation of the figure shown.

• (x-1)²/16 - (y+2)²/4 = 1
• (x+1)²/16 - (y-2)²/4 = 1
• (y+2)²/4 - (x-1)²/16 = 1
• (x-1)²/4 - (y+2)²/2 = 1

Tags

CCSS.HSG.GPE.A.3

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -7, -3), (13, - 3)
foci ( - 5, -3 ) , (11 , -3)
what is the a and b value of the ellipse?

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

Tags

CCSS.HSG.GPE.A.1

A hyperbola has vertices at   (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b²?

• 12
• 144
• 4
• 16

Tags

CCSS.HSG.GPE.A.3

(y-4)² = -8(x+1)
What direction does this parabola open?

• up
• down
• left
• right

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What number would go in the blank?

• -2
• -4
• -8
• -16

Tags

CCSS.HSG.GPE.A.2

In the equation
(x+2)²+(y+3)²=49, what is the center of the circle?

• (2, 3)
• (3, 2)
• (-3, -2)
• (-2, -3)

Tags

CCSS.HSG.GPE.A.1

Which is the equation of a circle with center (2, 1) that passes through (2, 4)?

• (x – 2)² + (y – 1)² = 9
• (x – 2)² + (y – 1)² = 3
• (x + 2)² + (y + 1)² = 9
• (x + 2)² + (y + 1)² = 3

Tags

CCSS.HSG.GPE.A.1