Conic Sections

Write the equation of the circle with a radius of 3 and a center of (4, 2). 

• ( x - 4)² + (y - 2)² = 3
• ( x - 2)² + (y - 2)² = 3²
• ( x - 4)² + (y - 2)² = 3²
• ( x + 4)² + (y + 2)² = 3²

Tags

CCSS.HSG.GPE.A.1

All parabolas with a vertical directrix open the left or right.

• true
• false

Write an equation for the ellipse with each set of characteristics. Then answer the question.
Vertices ( -2, -4), (-2, 8)
Length of minor axis is 10
What is the center of the ellipse?

• ( - 2, 2)
• (- 2, 4)
• (2, -2)
• (-2, 1)

Tags

CCSS.HSG.GPE.A.1

What number would go in the blank?

• -2
• -4
• -8
• -16

-6x² + 4y² + 9x + y = -7

• Circle
• Parabola
• Ellipse
• Hyperbola

6x² + 6y² – 3x + 4y = 0

• Circle
• Parabola
• Hyperbola
• Ellipse

Tags

CCSS.HSG.GPE.A.1

6y² – 5x – 2y + 5 = 0

• Parabola
• Circle
• Hyperbola
• Ellipse

Tags

CCSS.HSG.GPE.A.1

x + 3 = (y  - 1)²

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

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

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