Conics-The Basics

Classify the conic section.

• Circle
• Ellipse
• Hyperbola
• Parabola

Is the hyperbola vertical or horizontal? What is listed first...x or y?

• Vertical

• Horizontal

What is the radius of the circle?

(a)  

Tags

CCSS.HSG.GPE.A.1

What is the center of the hyperbola? Remember (h, k) and h always hangs out with x.

• (0, 4)

• (4, 0)

• (-4, 0)

• (0, -4)

What is the vertex of the parabola?

• (-3, -1)
• (3, 1)
• (1, 3)
• (-1, -3)

Tags

CCSS.HSF-IF.C.7A

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

Tags

CCSS.HSG.GPE.A.1

Classify the conic section.

• Circle
• Ellipse
• Hyperbola
• Parabola

What are the vertices of the ellipse? (Vertices are found at the ends of the long axis)

• (0, 0)

• (7, 1) and (-1, 1)

• (3, -5) and (3, 7)

• (3, 1)

Tags

CCSS.HSG.GPE.A.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

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