Conics Review

Match each equation with its description.

• Parabola opening down

• Parabola opening up

• Parabola opening left

• Parabola opening right

• Circle

Match the conic equation to its description.

• Vertical Hyperbola

• Horizontal Hyperbola

• Vertical Ellipse

• Horizontal Ellipse

Match the following equations to conic it represents.

• Ellipse

• Parabola

• Circle

• Hyperbola

Sort the graphs and equations by conic type.

Groups:

(a) Parabola

,

(b) Ellipse

,

(c) Hyperbola

,

(d) Circle

• 
• The set of points such that difference in the distances to two fixed points is a constant

• 
• 
• The set of points equidistant from a fixed point

• 
• The set of points such that the sum of the distances to two fixed points is constant

• The set of points that are equidistant from a fixed point and a fixed line

Tags

CCSS.HSG.GPE.A.2

Find the vertex: y² - 8y - 4x + 4 = 0

• (4, -3)

• (-4, 3)

• (-3,4)

• (3,-4)

Find the vertex: x² + 4x - 4y + 4 = 0

• (-2,0)

• (0, -2)

• (0,2)

• (2,0)

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

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