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

Which conic's equation has only 1 squared term?

• Parabola
• Circle
• Ellipse
• Hyperbola

Tags

CCSS.HSG.GPE.A.2

Find the ordered pairs of the vertices of the conic pictured.

• (-4, -4) and (6, -4)
• (4, 4) and (-6, 4)
• (-1, -1) and (-1, 9)
• The conic has no vertices.

Tags

CCSS.HSG.GPE.A.1

Write the equation of a circle with center (7, 0) with radius 3. 

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

Tags

CCSS.HSG.GPE.A.1

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

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

What are the vertices of the hyperbola?

• (0, 5) and (0, -5)
• (5, 0) and (-5, 0)
• (0, 25) and (-25, 0)
• (0, 0) and (0, 5)

Tags

CCSS.HSG.GPE.A.3

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

Tags

CCSS.HSG.GPE.A.1