Parabolas and Ellipses

Which of the following illustrates a parabola?

• 
• 
• 
• 

Find the standard equation of the parabola with focus (0, −3.5) and directrix

y = 3.5.

A parabola has focus (7, 9) and directrix y = 3. Find its
standard equation.

Find the standard equation of the parabola with focus (-3,−9) and Vertex (1, -9).

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

Find the equation of the figure shown.

• (x - 5)² + (y - 3)² = 25

Identify the center and the length of a and b.

• C: (0,0)  a= 25, b=4
• C: (0,0)  a= 4, b=25
• C: (0,0)  a= 2, b=5
• C: (0,0)  a= 5, b=2

Find the foci of this ellipse?

• (8, -1), (0, -1)
• (4±√7, -1)
• (4, 3), (4, -5)
• (4, -1)

What is the equation used to find the focal points on an ELLIPSE?

• c² = a² + b²
• c² = a² - b²
• 1/4d
• (x-h)² + (y-k)² = r²

What is the directrix of the parabola, careful to put in proper form
(x - 4)² = 8(y + 3)

• y = - 3
• x= 5
• y= - 5
• y= 2