Conics Review

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

• Hyperbola
• Ellipse
• Circle
• Parabola

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

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

• (0, 3)
• (3, 0)
• (-2, 0)
• (2, 0)

Tags

CCSS.HSG.GPE.A.1

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

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

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

• up
• down
• left
• right

(y-4)² = -8(x+1)
What are the coordinates for the focus?

• (1,4)
• (-1,6)
• (-1,2)
• (-3,4)

(x+3)² = 4(y+5)
What is the equation of the directrix?

• x = 4
• x = 2
• y = -4
• y = -6

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