Conics

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

Classify the conic section.

• Circle
• Ellipse
• Line
• None of these

Tags

CCSS.HSG.GPE.A.1

CCSS.HSG.GPE.A.3

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

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Tags

CCSS.HSG.GPE.A.3

What is the radius of (x + 2)² +(y - 5)² = 5

• 5
• 25
• √5
• (-2,5)

Tags

CCSS.HSG.GPE.A.1

• (x - 3)²  + (y + 4)² = 9
• (x - 3)²  + (y + 4)² = 3
• (x)²  + (y)² = 9
• (x - 1)²  + (y + 1)² = 7

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

What conic section is pictured?

• Circle
• Ellipse
• Parabola
• Hyperbola

Tags

CCSS.7.G.A.3